-
1
-
-
0035219587
-
Boundary Harnack principle and Martin boundary for a uniform domain
-
H. Aikawa, Boundary Harnack principle and Martin boundary for a uniform domain, J. Math. Soc. Japan 53 (2001), no. 1, 119-145.
-
(2001)
J. Math. Soc. Japan
, vol.53
, Issue.1
, pp. 119-145
-
-
Aikawa, H.1
-
2
-
-
3142715871
-
Potential-theoretic characterizations of nonsmooth domains
-
H. Aikawa, Potential-theoretic characterizations of nonsmooth domains, Bull. London Math. Soc. 36 (2004), no. 4, 469-482.
-
(2004)
Bull. London Math. Soc
, vol.36
, Issue.4
, pp. 469-482
-
-
Aikawa, H.1
-
3
-
-
0001577515
-
Principe de Harnack a la frontiere et théorè me de Fatou pour un opérateur elliptique dans un domaine lipschitzien
-
A. Ancona, Principe de Harnack a la frontiere et théorè me de Fatou pour un opérateur elliptique dans un domaine lipschitzien, Ann. Inst. Fourier (Grenoble) 28 (1978), no. 4, 169-213.
-
(1978)
Ann. Inst. Fourier (Grenoble)
, vol.28
, Issue.4
, pp. 169-213
-
-
Ancona, A.1
-
5
-
-
16744365634
-
Symmetric stable processes in cones
-
R. Bañuelos, K. Bogdan, Symmetric stable processes in cones, Potential Anal. 21 (2004), no. 3, 263-288.
-
(2004)
Potential Anal
, vol.21
, Issue.3
, pp. 263-288
-
-
Bañuelos, R.1
Bogdan, K.2
-
6
-
-
0001743189
-
Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
-
R. Bañuelos, Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators, J. Funct. Anal. 100 (1991), 181-206.
-
(1991)
J. Funct. Anal
, vol.100
, pp. 181-206
-
-
Bañuelos, R.1
-
7
-
-
2942668409
-
The Cauchy process and the Steklov problem
-
R. Bañuelos, T. Kulczycki, The Cauchy process and the Steklov problem, J. Funct. Anal. 211 (2004), 355-423.
-
(2004)
J. Funct. Anal
, vol.211
, pp. 355-423
-
-
Bañuelos, R.1
Kulczycki, T.2
-
8
-
-
33750883367
-
Spectral gap for the Cauchy process on convex, symmetric domains
-
R. Bañuelos, T. Kulczycki, Spectral gap for the Cauchy process on convex, symmetric domains. Comm. in Partial Diff. Equations 31 (2006), 1841-1878.
-
(2006)
Comm. in Partial Diff. Equations
, vol.31
, pp. 1841-1878
-
-
Bañuelos, R.1
Kulczycki, T.2
-
9
-
-
0000332599
-
Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps
-
R. Bañuelos, P.J. Méndez-Hernández, Sharp inequalities for heat kernels of Schrödinger operators and applications to spectral gaps, J. Funct. Anal. 176 (2000), no. 2, 368-399.
-
(2000)
J. Funct. Anal
, vol.176
, Issue.2
, pp. 368-399
-
-
Bañuelos, R.1
Méndez-Hernández, P.J.2
-
11
-
-
0002149688
-
A probabilistic proof of the boundary Harnack principle
-
E. Cinlar, K.L. Chung, and R.K. Getoor, editors, Birkhäuser, Boston
-
R.F. Bass, K. Burdzy, A probabilistic proof of the boundary Harnack principle, In E. Cinlar, K.L. Chung, and R.K. Getoor, editors, Seminar on Stochastic Processes, 1989, Birkhäuser, 1-16, Boston, 1990.
-
(1990)
Seminar on Stochastic Processes, 1989
, pp. 1-16
-
-
Bass, R.F.1
Burdzy, K.2
-
12
-
-
13844296740
-
Harnack inequalities for non-local operators of variable order
-
R. Bass, M. Kassmann, Harnack inequalities for non-local operators of variable order, Trans. Amer. Math. Soc. 357 (2005), 837-850.
-
(2005)
Trans. Amer. Math. Soc
, vol.357
, pp. 837-850
-
-
Bass, R.1
Kassmann, M.2
-
13
-
-
0141457561
-
Harnack inequalities for jump processes
-
R. Bass, D.A. Levin, Harnack inequalities for jump processes, Potential Anal. 17 (2002), 375-388.
-
(2002)
Potential Anal
, vol.17
, pp. 375-388
-
-
Bass, R.1
Levin, D.A.2
-
14
-
-
0035998083
-
Transition probabilities for symmetric jump processes
-
R. Bass, D.A. Levin, Transition probabilities for symmetric jump processes, Trans. Amer. Math. Soc. 354 (2002), 2933-2953.
-
(2002)
Trans. Amer. Math. Soc
, vol.354
, pp. 2933-2953
-
-
Bass, R.1
Levin, D.A.2
-
15
-
-
0042885791
-
A Fatou theorem for α-harmonic functions
-
R. Bass, D. You, A Fatou theorem for α-harmonic functions, Bull. Sciences Math. 127 (2003), 635-648.
-
(2003)
Bull. Sciences Math
, vol.127
, pp. 635-648
-
-
Bass, R.1
You, D.2
-
16
-
-
0002830576
-
On condensation in the free-boson gas and the spectrum of the Laplacian
-
M. van den Berg, On condensation in the free-boson gas and the spectrum of the Laplacian, J. Statist. Phys. 31 (1983), 623-637.
-
(1983)
J. Statist. Phys
, vol.31
, pp. 623-637
-
-
van den Berg, M.1
-
19
-
-
0031527784
-
Regenerative embeddings of Markov sets
-
J. Bertoin, Regenerative embeddings of Markov sets, Probab. Theory Rel. Fields 108 (1997), 559-571.
-
(1997)
Probab. Theory Rel. Fields
, vol.108
, pp. 559-571
-
-
Bertoin, J.1
-
20
-
-
0037982096
-
On subordinators, self-similar Markov processes and some factorizations of the exponential random variable
-
Bertoin, J., Yor, M.: On subordinators, self-similar Markov processes and some factorizations of the exponential random variable. Elect. Comm. in Probab. 6 (2001), 95-106.
-
(2001)
Elect. Comm. in Probab
, vol.6
, pp. 95-106
-
-
Bertoin, J.1
Yor, M.2
-
24
-
-
84972491111
-
The asymptotic distribution of the eigenvalues for a class of Markov operators
-
R.M. Blumenthal and R.K. Getoor, The asymptotic distribution of the eigenvalues for a class of Markov operators Pacific J. Math. 9 (1959), 399-408.
-
(1959)
Pacific J. Math
, vol.9
, pp. 399-408
-
-
Blumenthal, R.M.1
Getoor, R.K.2
-
25
-
-
0000760840
-
On the distribution of first hits for the symmetric stable processes
-
R.M. Blumenthal, R.K. Getoor, D.B. Ray, On the distribution of first hits for the symmetric stable processes, Trans. Amer. Math. Soc. 99 (1961), 540-554.
-
(1961)
Trans. Amer. Math. Soc
, vol.99
, pp. 540-554
-
-
Blumenthal, R.M.1
Getoor, R.K.2
Ray, D.B.3
-
27
-
-
0031444990
-
The boundary Harnack principle for the fractional Laplacian
-
K. Bogdan, The boundary Harnack principle for the fractional Laplacian, Studia Math. 123 (1997), 43-80.
-
(1997)
Studia Math
, vol.123
, pp. 43-80
-
-
Bogdan, K.1
-
28
-
-
0001166637
-
Representation of α-harmonic functions in Lipschitz domains
-
K. Bogdan, Representation of α-harmonic functions in Lipschitz domains, Hiroshima J. Math. 29 (1999), 227-243.
-
(1999)
Hiroshima J. Math
, vol.29
, pp. 227-243
-
-
Bogdan, K.1
-
29
-
-
0034652877
-
Sharp estimates for the Green function in Lipschitz domains
-
K. Bogdan, Sharp estimates for the Green function in Lipschitz domains, J. Math. Anal. Appl. 243 (2000), no. 2, 326-337.
-
(2000)
J. Math. Anal. Appl
, vol.243
, Issue.2
, pp. 326-337
-
-
Bogdan, K.1
-
30
-
-
0141457364
-
Censored stable processes
-
K. Bogdan, K. Burdzy, Z.-Q. Chen, Censored stable processes, Probab. Theory Related Fields 127 (2003), no. 1, 89-152.
-
(2003)
Probab. Theory Related Fields
, vol.127
, Issue.1
, pp. 89-152
-
-
Bogdan, K.1
Burdzy, K.2
Chen, Z.-Q.3
-
31
-
-
0000141096
-
Probabilistic proof of the boundary Harnack principle for symmetric stable processes
-
K. Bogdan and T. Byczkowski, Probabilistic proof of the boundary Harnack principle for symmetric stable processes, Potential Anal. 11 (1999), 135-156.
-
(1999)
Potential Anal
, vol.11
, pp. 135-156
-
-
Bogdan, K.1
Byczkowski, T.2
-
32
-
-
0002020384
-
Potential theory for the α-stable Schrödinger operator on on bounded Lipschitz domains
-
K. Bogdan and T. Byczkowski, Potential theory for the α-stable Schrödinger operator on on bounded Lipschitz domains, Studia Math. 133 (1999), 53-92.
-
(1999)
Studia Math
, vol.133
, pp. 53-92
-
-
Bogdan, K.1
Byczkowski, T.2
-
33
-
-
85009400128
-
-
K. Bogdan and T. Byczkowski, Potential theory of Schrödinger operator based on fractional Laplacian. Probab. Math. Statist. 20 (2000), no. 2, Acta Univ. Wratislav. No. 2256, 293-335.
-
K. Bogdan and T. Byczkowski, Potential theory of Schrödinger operator based on fractional Laplacian. Probab. Math. Statist. 20 (2000), no. 2, Acta Univ. Wratislav. No. 2256, 293-335.
-
-
-
-
34
-
-
0037782012
-
Relative Fatou theorem for harmonic and q-harmonic functions of rotation invariant stable process in smooth domains
-
K. Bogdan and B. Dyda, Relative Fatou theorem for harmonic and q-harmonic functions of rotation invariant stable process in smooth domains, Studia Math. 157 (2003), 83-96.
-
(2003)
Studia Math
, vol.157
, pp. 83-96
-
-
Bogdan, K.1
Dyda, B.2
-
35
-
-
68749083441
-
Probléme de Dirichlet pour les fonctions α-harmoniques. (French) [Dirichlet problem for α-harmonic functions on conical domains]
-
K. Bogdan and T. Jakubowski, Probléme de Dirichlet pour les fonctions α-harmoniques. (French) [Dirichlet problem for α-harmonic functions on conical domains] Ann. Math. Blaise Pascal 12 (2005), no. 2, 297-308.
-
(2005)
Ann. Math. Blaise Pascal
, vol.12
, Issue.2
, pp. 297-308
-
-
Bogdan, K.1
Jakubowski, T.2
-
36
-
-
33847191747
-
Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
-
K. Bogdan and T. Jakubowski, Estimates of heat kernel of fractional Laplacian perturbed by gradient operators, Comm. Math. Phys. 271 (2007), no. 1, 179-198.
-
(2007)
Comm. Math. Phys
, vol.271
, Issue.1
, pp. 179-198
-
-
Bogdan, K.1
Jakubowski, T.2
-
37
-
-
58149295707
-
Time-dependent Schrödinger perturbations of transition densities
-
K. Bogdan, T. Jakubowski and W. Hansen, Time-dependent Schrödinger perturbations of transition densities, Studia Math. 189 (2008), no. 3, 235-254.
-
(2008)
Studia Math
, vol.189
, Issue.3
, pp. 235-254
-
-
Bogdan, K.1
Jakubowski, T.2
Hansen, W.3
-
38
-
-
36749032160
-
Estimates and structure of α-harmonic functions
-
K. Bogdan, T. Kulczycki, M. Kwaśnicki, Estimates and structure of α-harmonic functions, Prob. Theory Related Fields 140 (2008), no. 3-4, 345-381.
-
(2008)
Prob. Theory Related Fields
, vol.140
, Issue.3-4
, pp. 345-381
-
-
Bogdan, K.1
Kulczycki, T.2
Kwaśnicki, M.3
-
39
-
-
0142137750
-
Harnack inequality for stable processes on d-sets
-
K. Bogdan, A. Stós, P. Sztonyk, Harnack inequality for stable processes on d-sets, Studia Math. 158 (2003), no. 2, 163-198.
-
(2003)
Studia Math
, vol.158
, Issue.2
, pp. 163-198
-
-
Bogdan, K.1
Stós, A.2
Sztonyk, P.3
-
40
-
-
34548537493
-
Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
-
K. Bogdan, P. Sztonyk, Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian, Studia Math. 181 (2007), no. 2, 101-123.
-
(2007)
Studia Math
, vol.181
, Issue.2
, pp. 101-123
-
-
Bogdan, K.1
Sztonyk, P.2
-
41
-
-
33747852866
-
On Kelvin transformation
-
K. Bogdan, T. Zak, On Kelvin transformation, J. Theor. Prob. 19 (2006), no. 1, 89-120.
-
(2006)
J. Theor. Prob
, vol.19
, Issue.1
, pp. 89-120
-
-
Bogdan, K.1
Zak, T.2
-
42
-
-
0038972126
-
On topologies and boundaries in potential theory
-
Springer, Berlin
-
M. Brelot, On topologies and boundaries in potential theory, Lecture Notes in Mathematics, Springer, Berlin, 1971.
-
(1971)
Lecture Notes in Mathematics
-
-
Brelot, M.1
-
43
-
-
0037253515
-
Stable processes have thorns
-
K. Burdzy, T. Kulczycki, Stable processes have thorns, Ann. Probab. 31 (2003), 170-194.
-
(2003)
Ann. Probab
, vol.31
, pp. 170-194
-
-
Burdzy, K.1
Kulczycki, T.2
-
44
-
-
68749083442
-
Bessel Potentials, Hitting Distributions and Green Functions
-
T. Byczkowski, J. Małecki, M. Ryznar, Bessel Potentials, Hitting Distributions and Green Functions, Trans. Amer. Math. Soc. 361 (2009), 4871-4900.
-
(2009)
Trans. Amer. Math. Soc
, vol.361
, pp. 4871-4900
-
-
Byczkowski, T.1
Małecki, J.2
Ryznar, M.3
-
45
-
-
0003056926
-
Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
-
R. Carmona, W.C. Masters and B. Simon, Relativistic Schrödinger operators: asymptotic behavior of the eigenfunctions, J. Funct. Anal. 91 (1990), 117-142.
-
(1990)
J. Funct. Anal
, vol.91
, pp. 117-142
-
-
Carmona, R.1
Masters, W.C.2
Simon, B.3
-
46
-
-
0031509117
-
Holomorphic diffusions and boundary behaviour of harmonic functions
-
Z.-Q. Chen, R. Durret and G. Ma, Holomorphic diffusions and boundary behaviour of harmonic functions, Ann. Prob. 25 (1997), 1103-1134.
-
(1997)
Ann. Prob
, vol.25
, pp. 1103-1134
-
-
Chen, Z.-Q.1
Durret, R.2
Ma, G.3
-
47
-
-
4544362747
-
Absolute continuity of symmetric Markov processes
-
Z.-Q. Chen, P.J. Fitzsimmons, M. Takeda, J. Ying and T.-S. Zhang, Absolute continuity of symmetric Markov processes, Ann. Probab. 32 (2004), 2067-2098.
-
(2004)
Ann. Probab
, vol.32
, pp. 2067-2098
-
-
Chen, Z.-Q.1
Fitzsimmons, P.J.2
Takeda, M.3
Ying, J.4
Zhang, T.-S.5
-
48
-
-
0036882783
-
Green function estimate for censored stable processes
-
Z.-Q. Chen, P. Kim, Green function estimate for censored stable processes, Probab. Theory Related Fields 124 (2002), no. 4, 595-610.
-
(2002)
Probab. Theory Related Fields
, vol.124
, Issue.4
, pp. 595-610
-
-
Chen, Z.-Q.1
Kim, P.2
-
49
-
-
0141799912
-
Heat kernel estimates for stable-like processes on d-sets
-
Z.-Q. Chen, T. Kumagai, Heat kernel estimates for stable-like processes on d-sets, Stoch. Proc. Appl. 108 (2003), 27-62.
-
(2003)
Stoch. Proc. Appl
, vol.108
, pp. 27-62
-
-
Chen, Z.-Q.1
Kumagai, T.2
-
50
-
-
0001600528
-
Martin boundary and integral representation for harmonic functions of symmetric stable processes
-
Z.-Q. Chen and R. Song, Martin boundary and integral representation for harmonic functions of symmetric stable processes, J. Funct. Anal. 159 (1998), 267-294.
-
(1998)
J. Funct. Anal
, vol.159
, pp. 267-294
-
-
Chen, Z.-Q.1
Song, R.2
-
51
-
-
0032335134
-
Estimates on Green functions and Poisson kernels for symmetric stable processes
-
Z.-Q. Chen and R. Song, Estimates on Green functions and Poisson kernels for symmetric stable processes, Math. Ann. 312 (1998), 465-501.
-
(1998)
Math. Ann
, vol.312
, pp. 465-501
-
-
Chen, Z.-Q.1
Song, R.2
-
52
-
-
0037934617
-
Conditional gauge theorem for non-local Feynman-Kac transforms
-
Z.-Q. Chen and R. Song, Conditional gauge theorem for non-local Feynman-Kac transforms, Probab. Theory Related Fields 125 (2003), no. 1, 45-72.
-
(2003)
Probab. Theory Related Fields
, vol.125
, Issue.1
, pp. 45-72
-
-
Chen, Z.-Q.1
Song, R.2
-
53
-
-
0742317510
-
Drift transforms and Green function estimates for discontinuous processes
-
Z.-Q. Chen and R. Song, Drift transforms and Green function estimates for discontinuous processes, J. Funct. Anal. 201 (2003), 262-281.
-
(2003)
J. Funct. Anal
, vol.201
, pp. 262-281
-
-
Chen, Z.-Q.1
Song, R.2
-
54
-
-
0031572650
-
Intrinsic ultracontractivity and Conditional Gauge for symmetric stable processes
-
Z.-Q. Chen and R. Song, Intrinsic ultracontractivity and Conditional Gauge for symmetric stable processes, J. Funct. Anal. 150 (1997), no.1, 204-239.
-
(1997)
J. Funct. Anal
, vol.150
, Issue.1
, pp. 204-239
-
-
Chen, Z.-Q.1
Song, R.2
-
55
-
-
0005272320
-
Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains
-
Z.-Q. Chen and R. Song, Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains, Illinois J. Math. 44 (2000), no. 1, 138-160.
-
(2000)
Illinois J. Math
, vol.44
, Issue.1
, pp. 138-160
-
-
Chen, Z.-Q.1
Song, R.2
-
56
-
-
0001600528
-
Martin boundary and integral representation for harmonic functions of symmetric stable processes
-
Z.-Q. Chen and R. Song, Martin boundary and integral representation for harmonic functions of symmetric stable processes, J. Funct. Anal. 159 (1998), 267-294.
-
(1998)
J. Funct. Anal
, vol.159
, pp. 267-294
-
-
Chen, Z.-Q.1
Song, R.2
-
57
-
-
23344440772
-
Two-sided eigenvalue estimates for subordinate Brownian motion in bounded domains
-
Z.-Q. Chen, R. Song, Two-sided eigenvalue estimates for subordinate Brownian motion in bounded domains, J. Funct. Anal. 226 (2005), 90-113.
-
(2005)
J. Funct. Anal
, vol.226
, pp. 90-113
-
-
Chen, Z.-Q.1
Song, R.2
-
58
-
-
28144449119
-
Continuity of eigenvalues of subordinate processes in domains
-
Z.-Q. Chen, R. Song, Continuity of eigenvalues of subordinate processes in domains, Math. Z. 252 (2006), 71-89.
-
(2006)
Math. Z
, vol.252
, pp. 71-89
-
-
Chen, Z.-Q.1
Song, R.2
-
59
-
-
76349103203
-
-
Stochastic Analysis and Partial Differential Equations, Contemp. Math. 429, AMS, Providence
-
Z.-Q. Chen, R. Song, Spectral properties of subordinate processes in domains, in: Stochastic Analysis and Partial Differential Equations, 77-84, Contemp. Math. 429, AMS, Providence 2007.
-
(2007)
Spectral properties of subordinate processes in domains
, pp. 77-84
-
-
Chen, Z.-Q.1
Song, R.2
-
61
-
-
0001247288
-
General gauge theorem for multiplicative functionals
-
K.-L. Chung, K.M. Rao, General gauge theorem for multiplicative functionals, Trans. Amer. Math. Soc. 306 (1988), 819-836.
-
(1988)
Trans. Amer. Math. Soc
, vol.306
, pp. 819-836
-
-
Chung, K.-L.1
Rao, K.M.2
-
63
-
-
84950242370
-
-
Interscience Publishers, Inc, New York
-
R. Courant, D. Hilbert, Methods of mathematical physics, vol. I, Interscience Publishers, Inc., New York, 1953.
-
(1953)
Methods of mathematical physics
, vol.1
-
-
Courant, R.1
Hilbert, D.2
-
64
-
-
84966211299
-
Conditional gauge and potential theory for the Schrödinger operator
-
M. Cranston, E. Fabes and Z. Zhao, Conditional gauge and potential theory for the Schrödinger operator, Trans. Amer. Math. Soc. 307 (1988), 174-194.
-
(1988)
Trans. Amer. Math. Soc
, vol.307
, pp. 174-194
-
-
Cranston, M.1
Fabes, E.2
Zhao, Z.3
-
65
-
-
0017727486
-
Estimates of harmonic measure
-
B. Dahlberg, Estimates of harmonic measure, Arch. Ration. Mech. Anal. 65 (1977), 275-288.
-
(1977)
Arch. Ration. Mech. Anal
, vol.65
, pp. 275-288
-
-
Dahlberg, B.1
-
67
-
-
0000573290
-
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
-
E.B. Davies, B. Simon, Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), 335-395.
-
(1984)
J. Funct. Anal
, vol.59
, pp. 335-395
-
-
Davies, E.B.1
Simon, B.2
-
68
-
-
0346278117
-
On the spectral gap for fixed membranes
-
B. Davis, On the spectral gap for fixed membranes, Ark. Mat. 39 (2001), no. 1, 65-74.
-
(2001)
Ark. Mat
, vol.39
, Issue.1
, pp. 65-74
-
-
Davis, B.1
-
69
-
-
34547341496
-
α-continuity properties of symmetric α-stable process
-
electronic
-
R.D. DeBlassie and P.J. Méndez-Hernández, α-continuity properties of symmetric α-stable process, Trans. Amer. Math. Soc. 359 (2007), no. 5, 2343-2359 (electronic).
-
(2007)
Trans. Amer. Math. Soc
, vol.359
, Issue.5
, pp. 2343-2359
-
-
DeBlassie, R.D.1
Méndez-Hernández, P.J.2
-
70
-
-
2942693075
-
The mixed Steklov eigenvalue problem and new extremal properties of the Grötzsch ring. (Russian)
-
Issled. po Linein. Oper. i Teor. Funkts. 28, 51-79, 365
-
B. Dittmar, A.Y. Solynin, The mixed Steklov eigenvalue problem and new extremal properties of the Grötzsch ring. (Russian), Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 270 (2000), Issled. po Linein. Oper. i Teor. Funkts. 28, 51-79, 365.
-
(2000)
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)
, vol.270
-
-
Dittmar, B.1
Solynin, A.Y.2
-
72
-
-
0038255067
-
A relativized Fatou theorem
-
J.L. Doob, A relativized Fatou theorem, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 215-222.
-
(1959)
Proc. Nat. Acad. Sci. U.S.A
, vol.45
, pp. 215-222
-
-
Doob, J.L.1
-
73
-
-
34547250245
-
Spectral gap for stable process on convex double symmetric domains
-
B. Dyda, T. Kulczycki Spectral gap for stable process on convex double symmetric domains, Potential Anal. 27 (2007), no. 2, 101-132.
-
(2007)
Potential Anal
, vol.27
, Issue.2
, pp. 101-132
-
-
Dyda, B.1
Kulczycki, T.2
-
74
-
-
0003438193
-
-
McGraw-Hill, New York
-
A. Erdèlyi, W. Magnus, F. Oberhettinger, F.G. Tricomi, Tables of Integral Transforms, Vol. 1., McGraw-Hill, New York 1954.
-
(1954)
Tables of Integral Transforms
, vol.1
-
-
Erdèlyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
75
-
-
0001737037
-
Séries trigonométriques et series de Taylor
-
P. Fatou, Séries trigonométriques et series de Taylor, Acta Math. 30 (1906), 335-400.
-
(1906)
Acta Math
, vol.30
, pp. 335-400
-
-
Fatou, P.1
-
76
-
-
51249193164
-
On the theory of potentials in locally compact spaces
-
B. Fuglede, On the theory of potentials in locally compact spaces, Acta Math. 103 (1960), 139-215.
-
(1960)
Acta Math
, vol.103
, pp. 139-215
-
-
Fuglede, B.1
-
77
-
-
0035592164
-
Time changes for Lévy processes
-
H. Geman, D.B. Madan, M. Yor, Time changes for Lévy processes, Math. Finance, 11 (2001), 79-96.
-
(2001)
Math. Finance
, vol.11
, pp. 79-96
-
-
Geman, H.1
Madan, D.B.2
Yor, M.3
-
78
-
-
0007322689
-
First passage times for symmetric stable processes in space
-
R.K. Getoor, First passage times for symmetric stable processes in space. Trans. Amer. Math. Soc. 101 (1961), 75-90.
-
(1961)
Trans. Amer. Math. Soc
, vol.101
, pp. 75-90
-
-
Getoor, R.K.1
-
79
-
-
84972514239
-
Markov operators and their associated semi-groups
-
R.K. Getoor, Markov operators and their associated semi-groups, Pacific J. Math. 9 (1959), 449-472.
-
(1959)
Pacific J. Math
, vol.9
, pp. 449-472
-
-
Getoor, R.K.1
-
80
-
-
4344667711
-
Harmonic functions of subordinate killed Brownian motions
-
J. Glover, Z. Pop-Stojanovic, M. Rao, H. Šikić, R. Song, Z. Vondraček, Harmonic functions of subordinate killed Brownian motions, J. Funct. Anal., 215 (2004), 399-426.
-
(2004)
J. Funct. Anal
, vol.215
, pp. 399-426
-
-
Glover, J.1
Pop-Stojanovic, Z.2
Rao, M.3
Šikić, H.4
Song, R.5
Vondraček, Z.6
-
81
-
-
0039609113
-
Γ- potentials
-
Chateau de Bonas, Kluwer Acad. Publ, Dordrecht
-
J. Glover, M. Rao, H. Šikić, R. Song, Γ- potentials, in: Classical and modern potential theory and applications (Chateau de Bonas, 1993), 217-232, Kluwer Acad. Publ., Dordrecht 1994.
-
(1993)
Classical and modern potential theory and applications
, pp. 217-232
-
-
Glover, J.1
Rao, M.2
Šikić, H.3
Song, R.4
-
82
-
-
50949131174
-
Estimates of Green function for some perturbations of fractional Laplacian
-
T. Grzywny, M. Ryznar, Estimates of Green function for some perturbations of fractional Laplacian, Illinois J. Math. 51 (2007), no. 4, 1409-1438
-
(2007)
Illinois J. Math
, vol.51
, Issue.4
, pp. 1409-1438
-
-
Grzywny, T.1
Ryznar, M.2
-
83
-
-
43349088493
-
Two-sided optimal bounds for half-spaces for relativistic α-stable process
-
T. Grzywny, M. Ryznar, Two-sided optimal bounds for half-spaces for relativistic α-stable process, Potential Anal. 28 (2008), no. 3, 201-239.
-
(2008)
Potential Anal
, vol.28
, Issue.3
, pp. 201-239
-
-
Grzywny, T.1
Ryznar, M.2
-
84
-
-
23844447757
-
Uniform boundary Harnack principle and generalized triangle property
-
W. Hansen, Uniform boundary Harnack principle and generalized triangle property, J. Funct. Anal. 226 (2005), no.2, 452-484.
-
(2005)
J. Funct. Anal
, vol.226
, Issue.2
, pp. 452-484
-
-
Hansen, W.1
-
85
-
-
32544439660
-
Global comparison of perturbed Green functions
-
W. Hansen, Global comparison of perturbed Green functions, Math. Ann. 334(3) (2006), 643-678.
-
(2006)
Math. Ann
, vol.334
, Issue.3
, pp. 643-678
-
-
Hansen, W.1
-
87
-
-
45849133011
-
Subordinating the killed process versus killing the subordinate process
-
P. He, J. Ying, Subordinating the killed process versus killing the subordinate process, Proceedings Amer. Math. Soc. 135 (2007), 523-529.
-
(2007)
Proceedings Amer. Math. Soc
, vol.135
, pp. 523-529
-
-
He, P.1
Ying, J.2
-
88
-
-
0001333185
-
Extremal principles and isoperimetric inequalities for some mixed problems of Stekloff's type
-
J. Hersch, L.E. Payne, Extremal principles and isoperimetric inequalities for some mixed problems of Stekloff's type, Z. Angew. Math. Phys. 19 (1968) 802-817.
-
(1968)
Z. Angew. Math. Phys
, vol.19
, pp. 802-817
-
-
Hersch, J.1
Payne, L.E.2
-
89
-
-
36749085360
-
Fonctions harmoniques pour les potentiels de Riesz sur la boule unite (French) [Harmonic functions for Riesz potentials on the unit ball]
-
F. Hmissi, Fonctions harmoniques pour les potentiels de Riesz sur la boule unite (French) [Harmonic functions for Riesz potentials on the unit ball], Exposition. Math. 12 (1994), no. 3, 281-288.
-
(1994)
Exposition. Math
, vol.12
, Issue.3
, pp. 281-288
-
-
Hmissi, F.1
-
91
-
-
54249113029
-
Old and new examples of scale functions for spectrally negative Lévy processes
-
preprint
-
F. Hubalek, A.E. Kyprianou, Old and new examples of scale functions for spectrally negative Lévy processes, preprint (2007).
-
(2007)
-
-
Hubalek, F.1
Kyprianou, A.E.2
-
92
-
-
84972528343
-
-
G.A. Hunt, Markoff processes and potentials I, II, III, Illinois J. Math. 1 (1957), 44-93; 1 (1957), 316-369; 2 (1957), 151-213.
-
G.A. Hunt, Markoff processes and potentials I, II, III, Illinois J. Math. 1 (1957), 44-93; 1 (1957), 316-369; 2 (1957), 151-213.
-
-
-
-
93
-
-
84966238197
-
Positive harmonic functions on Lipschitz domains
-
R.A. Hunt, R.L. Wheeden, Positive harmonic functions on Lipschitz domains, Trans. Amer. Math. Soc. 147 (1970), 507-527.
-
(1970)
Trans. Amer. Math. Soc
, vol.147
, pp. 507-527
-
-
Hunt, R.A.1
Wheeden, R.L.2
-
94
-
-
84968520667
-
On the boundary value of harmonic functions
-
R.A. Hunt, R.L. Wheeden, On the boundary value of harmonic functions, Trans. Amer. Math. Soc. 132 (1968), 307-322.
-
(1968)
Trans. Amer. Math. Soc
, vol.132
, pp. 307-322
-
-
Hunt, R.A.1
Wheeden, R.L.2
-
95
-
-
36749063550
-
On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes
-
N. Ikeda, S. Watanabe, On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes, Probab. Theory Related Fields 114 (1962), 207-227.
-
(1962)
Probab. Theory Related Fields
, vol.114
, pp. 207-227
-
-
Ikeda, N.1
Watanabe, S.2
-
96
-
-
0012896944
-
On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes
-
N. Ikeda and S. Watanabe, On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes, J. Math. Kyoto Univ. 2 (1962), no. 1, 79-95.
-
(1962)
J. Math. Kyoto Univ
, vol.2
, Issue.1
, pp. 79-95
-
-
Ikeda, N.1
Watanabe, S.2
-
97
-
-
85009408398
-
-
N. Jacob, Pseudo differential operators and Markov processes. I. Fourier analysis and semigroups, Imperial College Press, London, 2001.
-
N. Jacob, Pseudo differential operators and Markov processes. Vol. I. Fourier analysis and semigroups, Imperial College Press, London, 2001.
-
-
-
-
98
-
-
85009426913
-
-
T. Jakubowski, The estimates for the Green function in Lipschitz domains for the symmetric stable processes, Probab. Math. Statist. 22 (2002), no. 2, Acta Univ. Wratislav. No. 2470, 419-441.
-
T. Jakubowski, The estimates for the Green function in Lipschitz domains for the symmetric stable processes, Probab. Math. Statist. 22 (2002), no. 2, Acta Univ. Wratislav. No. 2470, 419-441.
-
-
-
-
99
-
-
0002814972
-
Boundary value problems on Lipschitz domains. Studies in partial differential equations
-
D.S. Jerison, C.E. Kenig, Boundary value problems on Lipschitz domains. Studies in partial differential equations, MAA Stud. Math. 23 (1982), 1-68.
-
(1982)
MAA Stud. Math
, vol.23
, pp. 1-68
-
-
Jerison, D.S.1
Kenig, C.E.2
-
100
-
-
0002004980
-
Boundary behavior of harmonic functions in non-tangentially accessible domains
-
D.S. Jerison, C.E. Kenig, Boundary behavior of harmonic functions in non-tangentially accessible domains, Advances in Math. 46 (1982), 80-147.
-
(1982)
Advances in Math
, vol.46
, pp. 80-147
-
-
Jerison, D.S.1
Kenig, C.E.2
-
101
-
-
33645841631
-
-α/2 harmonic functions in κ-fat set
-
-α/2 harmonic functions in κ-fat set, J. Funct. Anal. 234 (2006), no. 1, 70-105.
-
(2006)
J. Funct. Anal
, vol.234
, Issue.1
, pp. 70-105
-
-
Kim, P.1
-
102
-
-
33947716900
-
Generalized 3G theorem and application to relativistic stable process on non-smooth open sets
-
P. Kim, Y.-R. Lee, Generalized 3G theorem and application to relativistic stable process on non-smooth open sets, J. Funct. Anal. 246 (2007), no. 1, 113-143.
-
(2007)
J. Funct. Anal
, vol.246
, Issue.1
, pp. 113-143
-
-
Kim, P.1
Lee, Y.-R.2
-
103
-
-
33847275768
-
Potential theory of truncated stable processes
-
P. Kim, R. Song, Potential theory of truncated stable processes, Math. Z. 256 (2007), no. 1, 139-173.
-
(2007)
Math. Z
, vol.256
, Issue.1
, pp. 139-173
-
-
Kim, P.1
Song, R.2
-
104
-
-
42349089660
-
Boundary behavior of harmonic functions for truncated stable processes
-
P. Kim, R. Song, Boundary behavior of harmonic functions for truncated stable processes, J. Theoret. Probab. 21 (2008), no. 2, 287-321.
-
(2008)
J. Theoret. Probab
, vol.21
, Issue.2
, pp. 287-321
-
-
Kim, P.1
Song, R.2
-
105
-
-
62249180786
-
Boundary Harnack principle for subordinate Brownian motion
-
P. Kim, R. Song, Z. Vondraček, Boundary Harnack principle for subordinate Brownian motion, Stochastic Process. Appl. 119 (2009), 1601-1631.
-
(2009)
Stochastic Process. Appl
, vol.119
, pp. 1601-1631
-
-
Kim, P.1
Song, R.2
Vondraček, Z.3
-
106
-
-
0001479094
-
A problem of V.M. Zolotarev and analogues of infinitely divisible and stable distributions in a scheme for summation of a random number of random variables
-
L.B. Klebanov, G.M. Maniya, I.A. Melamed, A problem of V.M. Zolotarev and analogues of infinitely divisible and stable distributions in a scheme for summation of a random number of random variables, Theory Probab. Appl. 29 (1984), 791-794.
-
(1984)
Theory Probab. Appl
, vol.29
, pp. 791-794
-
-
Klebanov, L.B.1
Maniya, G.M.2
Melamed, I.A.3
-
107
-
-
84869696178
-
p spaces
-
Cambridge University Press
-
p spaces, LMS Lecture Note Series 40, Cambridge University Press, 1980.
-
(1980)
LMS Lecture Note Series
, vol.40
-
-
Koosis, P.1
-
108
-
-
17144412977
-
On the two-dimensional sloshing problem
-
V. Kozlov, N. Kuznetsov, O. Motygin, On the two-dimensional sloshing problem Proc. Roy. Soc. London A. 460 (2004), no. 2049, 2587-2603.
-
(2004)
Proc. Roy. Soc. London A
, vol.460
, Issue.2049
, pp. 2587-2603
-
-
Kozlov, V.1
Kuznetsov, N.2
Motygin, O.3
-
109
-
-
85009361546
-
-
T. Kulczycki, Properties of Green function of symmetric stable processes, Probab. Math. Statist. 17 (1997), no. 2, Acta Univ. Wratislav. no. 2029, 339-364.
-
T. Kulczycki, Properties of Green function of symmetric stable processes, Probab. Math. Statist. 17 (1997), no. 2, Acta Univ. Wratislav. no. 2029, 339-364.
-
-
-
-
110
-
-
0038434657
-
Intrinsic ultracontractivity for symmetric stable processes
-
T. Kulczycki, Intrinsic ultracontractivity for symmetric stable processes, Bull. Polish Acad. Sci. Math. 46 (1998), no. 3, 325-334.
-
(1998)
Bull. Polish Acad. Sci. Math
, vol.46
, Issue.3
, pp. 325-334
-
-
Kulczycki, T.1
-
111
-
-
85009400123
-
-
T. Kulczycki, Exit time and Green function of cone for symmetric stable processes, Probab. Math. Statist. 19 (1999), no. 2, Acta Univ. Wratislav. No. 2198, 337-374.
-
T. Kulczycki, Exit time and Green function of cone for symmetric stable processes, Probab. Math. Statist. 19 (1999), no. 2, Acta Univ. Wratislav. No. 2198, 337-374.
-
-
-
-
112
-
-
33750166957
-
Intrinsic ultracontractivity of Feynman-Kac semigroup for relativistic stable processes
-
T. Kulczycki, B. Siudeja, Intrinsic ultracontractivity of Feynman-Kac semigroup for relativistic stable processes, Trans. Amer. Math. Soc. 358, no. 11 (2006), 5025-5057.
-
(2006)
Trans. Amer. Math. Soc
, vol.358
, Issue.11
, pp. 5025-5057
-
-
Kulczycki, T.1
Siudeja, B.2
-
113
-
-
84972514341
-
Markov processes and Martin boundaries I
-
H. Kunita, T. Watanabe, Markov processes and Martin boundaries I, Illinois J. Math. 9 (1965), 485-526.
-
(1965)
Illinois J. Math
, vol.9
, pp. 485-526
-
-
Kunita, H.1
Watanabe, T.2
-
114
-
-
27544445747
-
Étude sur la théorie du potentiel généralisé
-
I.A. Kunugui, Étude sur la théorie du potentiel généralisé, Osaka Math. J. 2 (1950), 63-103.
-
(1950)
Osaka Math. J
, vol.2
, pp. 63-103
-
-
Kunugui, I.A.1
-
115
-
-
0035214670
-
-
N. Kuznetsov, O. Motygin, Sloshing problem in a half-plane covered by a dock with two gaps: monotonicity and asymptotics of eigenvalues Comptes Rendus de l'Academie des Sciences: Serie II b, Mechanique, Physique, Astronomie 329 (11) (2001), 791-796.
-
(2001)
Sloshing problem in a half-plane covered by a dock with two gaps: Monotonicity and asymptotics of eigenvalues Comptes Rendus de l'Academie des Sciences: Serie II b, Mechanique, Physique, Astronomie
, vol.329
, Issue.11
, pp. 791-796
-
-
Kuznetsov, N.1
Motygin, O.2
-
116
-
-
68749100739
-
Spectral gap estimate for stable processes on arbitrary bounded open sets
-
M. Kwaśnicki, Spectral gap estimate for stable processes on arbitrary bounded open sets, Probab. Math. Statist. 28(1) (2008), 163-167.
-
(2008)
Probab. Math. Statist
, vol.28
, Issue.1
, pp. 163-167
-
-
Kwaśnicki, M.1
-
118
-
-
84968507650
-
The stability of matter: From atoms to stars
-
E.H. Lieb, The stability of matter: from atoms to stars, Bull. Amer. Math. Soc. 22 (1990), 1-49.
-
(1990)
Bull. Amer. Math. Soc
, vol.22
, pp. 1-49
-
-
Lieb, E.H.1
-
119
-
-
0001231797
-
n
-
n, Michigan Math. J. 40 (1993), no. 2, 259-270.
-
(1993)
Michigan Math. J
, vol.40
, Issue.2
, pp. 259-270
-
-
Ling, J.1
-
121
-
-
0002895230
-
The variance gamma process and option pricing
-
D.B. Madan, P. Carr, E. Chang, The variance gamma process and option pricing, European Finance Review 2 (1998), 79-105.
-
(1998)
European Finance Review
, vol.2
, pp. 79-105
-
-
Madan, D.B.1
Carr, P.2
Chang, E.3
-
122
-
-
84890749765
-
Subordinators related to the exponential functionals of Brownian bridges and explicit formulae for the semigroups of hyperbolic Brownian motions
-
Taylor & Francis, London
-
H. Matsumoto, L. Nguyen, M. Yor, Subordinators related to the exponential functionals of Brownian bridges and explicit formulae for the semigroups of hyperbolic Brownian motions, in: Stochastic processes and related topics (Siegmundsburg, 2000), Stochastics Monogr. Vol. 12, 213-235, Taylor & Francis, London 2002.
-
(2002)
Stochastic processes and related topics (Siegmundsburg, 2000), Stochastics Monogr
, vol.12
, pp. 213-235
-
-
Matsumoto, H.1
Nguyen, L.2
Yor, M.3
-
123
-
-
68749084696
-
Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes
-
K. Michalik, Sharp estimates of the Green function, the Poisson kernel and the Martin kernel of cones for symmetric stable processes, Hiroshima Math. J. 36 (2006), no. 1, 1-21.
-
(2006)
Hiroshima Math. J
, vol.36
, Issue.1
, pp. 1-21
-
-
Michalik, K.1
-
124
-
-
17044423812
-
Relative Fatou theorem for α-harmonic functions in Lipschitz domains
-
K. Michalik, M. Ryznar, Relative Fatou theorem for α-harmonic functions in Lipschitz domains, Illinois J. Math. 48 (2004), no. 3, 977-998.
-
(2004)
Illinois J. Math
, vol.48
, Issue.3
, pp. 977-998
-
-
Michalik, K.1
Ryznar, M.2
-
125
-
-
0038255065
-
Martin representation for α-harmonic functions
-
K. Michalik, K. Samotij, Martin representation for α-harmonic functions, Probab. Math. Statist. 20 (2000), 75-91.
-
(2000)
Probab. Math. Statist
, vol.20
, pp. 75-91
-
-
Michalik, K.1
Samotij, K.2
-
126
-
-
85009376750
-
-
Y. Nakamura, Classes of operator monotone functions and Stieltjes functions, in: The Gohberg Anniversary Collection, II: Topics in Analysis and Operator Theory, Operator Theory: Advances and Applications, 41, H. Dym et al., Eds, 395-404, Birkhäuser, Basel 1989.
-
Y. Nakamura, Classes of operator monotone functions and Stieltjes functions, in: The Gohberg Anniversary Collection, Vol. II: Topics in Analysis and Operator Theory, Operator Theory: Advances and Applications, Vol. 41, H. Dym et al., Eds, 395-404, Birkhäuser, Basel 1989.
-
-
-
-
127
-
-
0000495328
-
On Mittag-Leffler functions and related distributions
-
A.N. Pillai, On Mittag-Leffler functions and related distributions, Ann. Inst. Statist. Math., 42 (1990), 157-161.
-
(1990)
Ann. Inst. Statist. Math
, vol.42
, pp. 157-161
-
-
Pillai, A.N.1
-
129
-
-
51249190251
-
Hitting times and potentials for recurrent stable processes
-
S. Port, Hitting times and potentials for recurrent stable processes, J. Analyse Math. 20 (1967), 371-395.
-
(1967)
J. Analyse Math
, vol.20
, pp. 371-395
-
-
Port, S.1
-
130
-
-
85009408383
-
-
S.C. Port, J.C. Stone, Infinitely divisible process and their potential theory I, II, Ann. Inst. Fourier, 21(1971), no. 2, 157-275 and 21 (1971), no. 4, 179-265.
-
S.C. Port, J.C. Stone, Infinitely divisible process and their potential theory I, II, Ann. Inst. Fourier, 21(1971), no. 2, 157-275 and 21 (1971), no. 4, 179-265.
-
-
-
-
131
-
-
0001616391
-
The growth of random walks and Lévy processes
-
W.E. Pruitt, The growth of random walks and Lévy processes, Ann. Probab., 9 (1981), 948-956.
-
(1981)
Ann. Probab
, vol.9
, pp. 948-956
-
-
Pruitt, W.E.1
-
132
-
-
33746166036
-
Green function estimates and Harnack inequality for subordinate Brownian motions
-
M. Rao, R. Song, Z. Vondraček, Green function estimates and Harnack inequality for subordinate Brownian motions, Potential Anal. 25 (2006), 1-27.
-
(2006)
Potential Anal
, vol.25
, pp. 1-27
-
-
Rao, M.1
Song, R.2
Vondraček, Z.3
-
133
-
-
0011444297
-
Intégrales de Riemann-Liouville et potentiels
-
Math. Szeged
-
M. Riesz, Intégrales de Riemann-Liouville et potentiels. Acta Sci. Math. Szeged, 1938.
-
(1938)
Acta Sci
-
-
Riesz, M.1
-
134
-
-
0036251925
-
Estimates of Green function for relativistic α-stable processes
-
M. Ryznar, Estimates of Green function for relativistic α-stable processes, Potential Anal. 17 (2002), 1-23.
-
(2002)
Potential Anal
, vol.17
, pp. 1-23
-
-
Ryznar, M.1
-
136
-
-
0040350238
-
Subordination in the sense of Bochner and a related functional calculus
-
R.L. Schilling, Subordination in the sense of Bochner and a related functional calculus, J. Austral. Math. Soc, Ser. A, 64 (1998), 368-396.
-
(1998)
J. Austral. Math. Soc, Ser. A
, vol.64
, pp. 368-396
-
-
Schilling, R.L.1
-
137
-
-
0032286130
-
Growth and Hölder conditions for the sample paths of Feller processes
-
R.L. Schilling, Growth and Hölder conditions for the sample paths of Feller processes, Probab. Theory Related Fields 112 (1998), 565-611.
-
(1998)
Probab. Theory Related Fields
, vol.112
, pp. 565-611
-
-
Schilling, R.L.1
-
139
-
-
33646718362
-
Potential theory of geometric stable processes
-
H. Šikić, R. Song, Z. Vondraček, Potential theory of geometric stable processes, Probab. Theory Related Fields 135 (2006), 547-575.
-
(2006)
Probab. Theory Related Fields
, vol.135
, pp. 547-575
-
-
Šikić, H.1
Song, R.2
Vondraček, Z.3
-
140
-
-
85016600983
-
Schrödinger semigroups
-
B. Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. 7 (1982), 447-526.
-
(1982)
Bull. Amer. Math. Soc
, vol.7
, pp. 447-526
-
-
Simon, B.1
-
141
-
-
0001214262
-
An estimate of the gap of the first two eigenvalues in the Schrödinger operator
-
I.M. Singer, B. Wong, S.-T. Yau, S.S.-T. Yau, An estimate of the gap of the first two eigenvalues in the Schrödinger operator, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12(2) (1985), 319-333.
-
(1985)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.12
, Issue.2
, pp. 319-333
-
-
Singer, I.M.1
Wong, B.2
Yau, S.-T.3
Yau, S.S.-T.4
-
142
-
-
85009422130
-
-
A.V. Skorohod, Asymptotic formulas for stable distribution laws, Select. Transl. Math. Statist. and Probability, 1., 157-161, Inst. Math. Statist. and Amer. Math. Soc., Providence, R.I., 1961.
-
A.V. Skorohod, Asymptotic formulas for stable distribution laws, Select. Transl. Math. Statist. and Probability, Vol. 1., 157-161, Inst. Math. Statist. and Amer. Math. Soc., Providence, R.I., 1961.
-
-
-
-
143
-
-
1842590592
-
Sharp bounds on the density, Green function and jumping function of subordinate killed Brownian Motion
-
R. Song, Sharp bounds on the density, Green function and jumping function of subordinate killed Brownian Motion, Probab. Theory Related Fields 128 (2004), 606-628.
-
(2004)
Probab. Theory Related Fields
, vol.128
, pp. 606-628
-
-
Song, R.1
-
144
-
-
0037933350
-
Potential theory of subordinate killed Brownian motion in a domain
-
R. Song, Z. Vondraček, Potential theory of subordinate killed Brownian motion in a domain, Probab. Theory Related Fields 125 (2003), 578-592.
-
(2003)
Probab. Theory Related Fields
, vol.125
, pp. 578-592
-
-
Song, R.1
Vondraček, Z.2
-
145
-
-
0742271343
-
Harnack inequalities for some classes of Markov processes
-
R. Song, Z. Vondraček, Harnack inequalities for some classes of Markov processes, Math. Z. 246 (2004), 177-202.
-
(2004)
Math. Z
, vol.246
, pp. 177-202
-
-
Song, R.1
Vondraček, Z.2
-
147
-
-
33646749610
-
Harnack inequality for some discontinuous Markov processes with a diffusion part
-
R. Song, Z. Vondraček, Harnack inequality for some discontinuous Markov processes with a diffusion part, Glasnik Matematički 40 (2005), 177-187.
-
(2005)
Glasnik Matematički
, vol.40
, pp. 177-187
-
-
Song, R.1
Vondraček, Z.2
-
148
-
-
33845666586
-
Potential theory of special subordinators and subordinate killed stable processes
-
R. Song, Z. Vondraček, Potential theory of special subordinators and subordinate killed stable processes, J. Theoret. Probab. 19 (2006), 817-847.
-
(2006)
J. Theoret. Probab
, vol.19
, pp. 817-847
-
-
Song, R.1
Vondraček, Z.2
-
149
-
-
45849111898
-
On the relationship between subordinate killed and killed subordinate process
-
R. Song, Z. Vondraček, On the relationship between subordinate killed and killed subordinate process, Electron. Commun. Probab. 13 (2008), 325-336.
-
(2008)
Electron. Commun. Probab
, vol.13
, pp. 325-336
-
-
Song, R.1
Vondraček, Z.2
-
150
-
-
0037983285
-
Boundary Harnack principle for symmetric stable processes
-
R. Song, J.-M. Wu, Boundary Harnack principle for symmetric stable processes, J. Funct. Anal. 168 (1999), 403-427.
-
(1999)
J. Funct. Anal
, vol.168
, pp. 403-427
-
-
Song, R.1
Wu, J.-M.2
-
151
-
-
85009028743
-
-
D.W. Stroock, Markov processes from K. Itô's perspective, Ann. of Math. Stud. 155, Princeton Univ. Press, Princeton, NJ, 2003.
-
D.W. Stroock, Markov processes from K. Itô's perspective, Ann. of Math. Stud. 155, Princeton Univ. Press, Princeton, NJ, 2003.
-
-
-
-
152
-
-
0037917507
-
On harmonic measure for Lévy processes
-
P. Sztonyk, On harmonic measure for Lévy processes, Probab. Math. Statist. 20 (2000), 383-390.
-
(2000)
Probab. Math. Statist
, vol.20
, pp. 383-390
-
-
Sztonyk, P.1
-
153
-
-
0001356097
-
Comparisons of kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
-
J.-M. Wu, Comparisons of kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains, Ann. Inst. Fourier Grenoble 28 (1978), 147-167.
-
(1978)
Ann. Inst. Fourier Grenoble
, vol.28
, pp. 147-167
-
-
Wu, J.-M.1
-
154
-
-
0037917508
-
Harmonic measures for symmetric stable processes
-
J.-M. Wu, Harmonic measures for symmetric stable processes, Studia Math. 149 (2002), no. 3, 281-293.
-
(2002)
Studia Math
, vol.149
, Issue.3
, pp. 281-293
-
-
Wu, J.-M.1
-
155
-
-
2142660354
-
Symmetric stable processes stay in thick sets
-
J.-M. Wu, Symmetric stable processes stay in thick sets, Ann. Probab. 32 (2004), 315-336.
-
(2004)
Ann. Probab
, vol.32
, pp. 315-336
-
-
Wu, J.-M.1
-
157
-
-
0001108250
-
Lower bounds of the gap between the first and second eigenvalues of the Schrödinger operator
-
Q. Yu and J.Q. Zhong, Lower bounds of the gap between the first and second eigenvalues of the Schrödinger operator, Trans. Amer. Math. Soc. 294 (1986), 341-349.
-
(1986)
Trans. Amer. Math. Soc
, vol.294
, pp. 341-349
-
-
Yu, Q.1
Zhong, J.Q.2
-
158
-
-
0036647454
-
The boundary behavior of heat kernels of Dirichlet Laplacians
-
Q.S. Zhang, The boundary behavior of heat kernels of Dirichlet Laplacians, J. Diff. Equations 182 (2002), 416-430.
-
(2002)
J. Diff. Equations
, vol.182
, pp. 416-430
-
-
Zhang, Q.S.1
|