-
2
-
-
0001332868
-
Uniformly positivity improving property, Sobolev inequalities and spectral gaps
-
Aida S. Uniformly positivity improving property, Sobolev inequalities and spectral gaps. J. Funct. Anal. 158:1998;152-158.
-
(1998)
J. Funct. Anal.
, vol.158
, pp. 152-158
-
-
Aida, S.1
-
3
-
-
0000920853
-
Logarithmic Sobolev inequalities and exponential integrability
-
Aida S., Masuda T., Shigekawa I. Logarithmic Sobolev inequalities and exponential integrability. J. Funct. Anal. 126:1994;83-101.
-
(1994)
J. Funct. Anal.
, vol.126
, pp. 83-101
-
-
Aida, S.1
Masuda, T.2
Shigekawa, I.3
-
4
-
-
0039951239
-
Moment estimates derived from Poincaré and logarithmic Sobolev inequalities
-
Aida S., Stroock D. Moment estimates derived from Poincaré and logarithmic Sobolev inequalities. Math. Res. Lett. 1:1994;75-86.
-
(1994)
Math. Res. Lett.
, vol.1
, pp. 75-86
-
-
Aida, S.1
Stroock, D.2
-
7
-
-
0000864917
-
A relation between growth and the spectrum of the Laplacian
-
Brooks R. A relation between growth and the spectrum of the Laplacian. Math. Z. 178:1981;501-508.
-
(1981)
Math. Z.
, vol.178
, pp. 501-508
-
-
Brooks, R.1
-
8
-
-
0002347482
-
On the spectrum of noncompact manifolds with finite volume
-
Brooks R. On the spectrum of noncompact manifolds with finite volume. Math. Z. 187:1984;425-432.
-
(1984)
Math. Z.
, vol.187
, pp. 425-432
-
-
Brooks, R.1
-
10
-
-
84972535477
-
Finite propagation speed, Laplace operator, and geometry of complete Riemannian manifolds
-
Cheeger J., Gromov M., Taylor M. Finite propagation speed, Laplace operator, and geometry of complete Riemannian manifolds. J. Differential Geom. 17:1982;15-53.
-
(1982)
J. Differential Geom.
, vol.17
, pp. 15-53
-
-
Cheeger, J.1
Gromov, M.2
Taylor, M.3
-
12
-
-
0006089178
-
Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap
-
MSRI preprint 98-024, results claimed to appear in, Ann. Probab.
-
M. F. Chen, and, F. Y. Wang, Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap, MSRI preprint 98-024, results claimed in, Chinese Sci. Bull., 43, (1998), 1516-1518, to appear in, Ann. Probab.
-
(1998)
In, Chinese Sci. Bull.
, vol.43
, pp. 1516-1518
-
-
Chen, M.F.1
And2
Wang, F.Y.3
-
13
-
-
0030295841
-
Ultracontractivity and Nash type inequalities
-
Coulhon T. Ultracontractivity and Nash type inequalities. J. Funct. Anal. 141:1996;510-539.
-
(1996)
J. Funct. Anal.
, vol.141
, pp. 510-539
-
-
Coulhon, T.1
-
14
-
-
0001563434
-
Some isoperimetric inequalities and eigenvalues estimates
-
Croke C. B. Some isoperimetric inequalities and eigenvalues estimates. Ann. Sci. École. Norm. Sup. 13:1980;419-435.
-
(1980)
Ann. Sci. École. Norm. Sup.
, vol.13
, pp. 419-435
-
-
Croke, C.B.1
-
16
-
-
0000573290
-
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
-
Davies E. B., Simon B. 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
-
17
-
-
0040569208
-
Exhaustion functions and the spectrum of Riemannian manifolds
-
Donnely H. Exhaustion functions and the spectrum of Riemannian manifolds. Indiana Univ. Math. J. 44:1997;505-527.
-
(1997)
Indiana Univ. Math. J.
, vol.44
, pp. 505-527
-
-
Donnely, H.1
-
18
-
-
84972567499
-
Pure point spectrum and negative curvature for noncompact manifolds
-
Donnely H., Li P. Pure point spectrum and negative curvature for noncompact manifolds. Duke Math. J. 46:1979;497-503.
-
(1979)
Duke Math. J.
, vol.46
, pp. 497-503
-
-
Donnely, H.1
Li, P.2
-
19
-
-
0002754231
-
∞ approximations of convex, subharmonic, and plurisubharmonic functions
-
∞ approximations of convex, subharmonic, and plurisubharmonic functions. Ann. Sci. École. Norm. Sup. (4). 12:1979;47-84.
-
(1979)
Ann. Sci. École. Norm. Sup. (4)
, vol.12
, pp. 47-84
-
-
Green, R.E.1
Wu, H.2
-
20
-
-
22044456340
-
On the Pearson's theorem in local Dirichlet spaces
-
Grillo G. On the Pearson's theorem in local Dirichlet spaces. Z. Anal. Anwendungen. 17:1998;329-338.
-
(1998)
Z. Anal. Anwendungen
, vol.17
, pp. 329-338
-
-
Grillo, G.1
-
21
-
-
0032267704
-
Herbst inequalities for supercontractive semigroups
-
Gross L., Rothaus O. Herbst inequalities for supercontractive semigroups. J. Math. Kyoto Univ. 38:1998;295-318.
-
(1998)
J. Math. Kyoto Univ.
, vol.38
, pp. 295-318
-
-
Gross, L.1
Rothaus, O.2
-
22
-
-
17944393288
-
On the essential spectrum of the Laplacian on complete manifolds
-
Kumura H. On the essential spectrum of the Laplacian on complete manifolds. J. Math. Soc. Japan. 49:1997;1-14.
-
(1997)
J. Math. Soc. Japan
, vol.49
, pp. 1-14
-
-
Kumura, H.1
-
23
-
-
0011636080
-
Some boundedness properties of certain stationary diffusion semigroups
-
Kusuoka S., Stroock D. Some boundedness properties of certain stationary diffusion semigroups. J. Funct. Anal. 60:1985;243-264.
-
(1985)
J. Funct. Anal.
, vol.60
, pp. 243-264
-
-
Kusuoka, S.1
Stroock, D.2
-
24
-
-
0001525416
-
A simple proof of an inequality by P. Buser
-
Ledoux M. A simple proof of an inequality by P. Buser. Proc. Amer. Math. Soc. 121:1994;951-958.
-
(1994)
Proc. Amer. Math. Soc.
, vol.121
, pp. 951-958
-
-
Ledoux, M.1
-
25
-
-
0004226164
-
Concentration of measures and logarithmic Sobolev inequalities
-
New York: Springer-Verlag
-
Ledoux M. Concentration of measures and logarithmic Sobolev inequalities. Séminaire de Probabilités XXXIV. Lecture Notes in Math. 1999;Springer-Verlag, New York.
-
(1999)
Séminaire de Probabilités XXXIV Lecture Notes in Math.
-
-
Ledoux, M.1
-
26
-
-
0000324115
-
On the parabolic heat kernel of the Schrödinger operator
-
Li P., Yau S. T. On the parabolic heat kernel of the Schrödinger operator. Acta Math. 156:1986;153-201.
-
(1986)
Acta Math.
, vol.156
, pp. 153-201
-
-
Li, P.1
Yau, S.T.2
-
31
-
-
84945054629
-
Comparison theorem on Dirichlet norms and their applications
-
Tomisaki M. Comparison theorem on Dirichlet norms and their applications. Forum Math. 2:1990;277-295.
-
(1990)
Forum Math.
, vol.2
, pp. 277-295
-
-
Tomisaki, M.1
-
32
-
-
0031138503
-
On estimation of logarithmic Sobolev constant and gradient estimates of heat semigroups
-
Wang F. Y. On estimation of logarithmic Sobolev constant and gradient estimates of heat semigroups. Probab. Theory Related Fields. 108:1997;87-101.
-
(1997)
Probab. Theory Related Fields
, vol.108
, pp. 87-101
-
-
Wang, F.Y.1
-
33
-
-
0031522629
-
Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
-
Wang F. Y. Logarithmic Sobolev inequalities on noncompact Riemannian manifolds. Probab. Theory Related Fields. 109:1997;417-424.
-
(1997)
Probab. Theory Related Fields
, vol.109
, pp. 417-424
-
-
Wang, F.Y.1
-
34
-
-
0002749217
-
Existence of spectral gap for elliptic operators
-
Wang F. Y. Existence of spectral gap for elliptic operators. Ark. Mat. 37:1999;395-407.
-
(1999)
Ark. Mat.
, vol.37
, pp. 395-407
-
-
Wang, F.Y.1
-
35
-
-
0006045917
-
Sobolev type inequalities for general symmetric forms
-
Wang F. Y. Sobolev type inequalities for general symmetric forms. Proc. Amer. Math. Soc. 1999.
-
(1999)
Proc. Amer. Math. Soc.
-
-
Wang, F.Y.1
-
36
-
-
0041386508
-
Logarithmic Sobolev inequalities: conditions and counterexamples
-
to appear in
-
F. Y. Wang, Logarithmic Sobolev inequalities: conditions and counterexamples, to appear in, J. Operator Theory.
-
J. Operator Theory
-
-
Wang, F.Y.1
-
37
-
-
0000100131
-
Isoperimetric constants and the first eigenvalue of a compact manifold
-
Yau S. T. Isoperimetric constants and the first eigenvalue of a compact manifold. Ann. Sci. École Norm. Sup. 8:1975;487-501.
-
(1975)
Ann. Sci. École Norm. Sup.
, vol.8
, pp. 487-501
-
-
Yau, S.T.1
|