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Volumn 363, Issue 9, 2011, Pages 5021-5055

Global heat kernel estimates for symmetric jump processes

Author keywords

Dirichlet form; Heat kernel estimates; Jump process; Jumping kernel; Parabolic Harnack inequality

Indexed keywords


EID: 79959528481     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-2011-05408-5     Document Type: Article
Times cited : (115)

References (25)
  • 1
    • 62549135472 scopus 로고    scopus 로고
    • Non-local Dirichlet forms and symmetric jump processes
    • MR2465826 (2010e:60163)
    • M.T. Barlow, R.F. Bass, Z.-Q. Chen and M. Kassmann. Non-local Dirichlet forms and symmetric jump processes. Trans. Amer. Math. Soc. 361 (2009), 1963-1999. MR2465826 (2010e:60163)
    • (2009) Trans. Amer. Math. Soc , vol.361 , pp. 1963-1999
    • Barlow, M.T.1    Bass, R.F.2    Chen, Z.-Q.3    Kassmann, M.4
  • 2
    • 56349111455 scopus 로고    scopus 로고
    • Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
    • MR2457301 (2009m:60111)
    • M.T. Barlow, R.F. Bass and T. Kumagai. Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Math. Z. 261 (2009), 297-320. MR2457301 (2009m:60111)
    • (2009) Math. Z , vol.261 , pp. 297-320
    • Barlow, M.T.1    Bass, R.F.2    Kumagai, T.3
  • 3
    • 58449102768 scopus 로고    scopus 로고
    • Heat kernel upper bounds for jump processes and the first exit time
    • MR2492992 (2009m:58077)
    • M.T. Barlow, A. Grigor'yan and T. Kumagai. Heat kernel upper bounds for jump processes and the first exit time. J. Reine Angew. Math. 626 (2009), 135-157. MR2492992 (2009m:58077)
    • (2009) J. Reine Angew. Math , vol.626 , pp. 135-157
    • Barlow, M.T.1    Grigor'yan, A.2    Kumagai, T.3
  • 4
    • 0035998083 scopus 로고    scopus 로고
    • Transition probabilities for symmetric jump processes
    • MR1895210 (2002m:60132)
    • R. F. Bass and D. A. Levin. Transition probabilities for symmetric jump processes. Trans. Amer. Math. Soc. 354 (2002), 2933-2953. MR1895210 (2002m:60132)
    • (2002) Trans. Amer. Math. Soc , vol.354 , pp. 2933-2953
    • Bass, R.F.1    Levin, D.A.2
  • 5
    • 37849049246 scopus 로고    scopus 로고
    • Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian
    • MR2367025 (2009g:35347)
    • L. A. Caffarelli, S. Salsa and Luis Silvestre. Regularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian. Invent. Math. 171(1) (2008), 425-461. MR2367025 (2009g:35347)
    • (2008) Invent. Math , vol.171 , Issue.1 , pp. 425-461
    • Caffarelli, L.A.1    Salsa, S.2    Silvestre, L.3
  • 7
    • 0003056926 scopus 로고
    • Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
    • MR1054115 (91i:35139)
    • R. Carmona, W. C. Masters and B. Simon. Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions. J. Funct. Anal. 91(1) (1990), 117-142. MR1054115 (91i:35139)
    • (1990) J. Funct. Anal , vol.91 , Issue.1 , pp. 117-142
    • Carmona, R.1    Masters, W.C.2    Simon, B.3
  • 8
    • 0005833762 scopus 로고    scopus 로고
    • The Fine Structure of Asset Returns: An Empirical Investigation
    • P. Carr, H. Geman, D. Madan and M. Yor. The Fine Structure of Asset Returns: An Empirical Investigation, Journal of Business, 75(2) (2002), 305-332.
    • (2002) Journal of Business , vol.75 , Issue.2 , pp. 305-332
    • Carr, P.1    Geman, H.2    Madan, D.3    Yor, M.4
  • 9
    • 0036829105 scopus 로고    scopus 로고
    • Gaugeability and conditional gaugeability
    • MR1926893 (2003i:60127)
    • Z.-Q. Chen. Gaugeability and conditional gaugeability. Trans. Amer. Math. Soc. 354 (2002), 4639-4679. MR1926893 (2003i:60127)
    • (2002) Trans. Amer. Math. Soc , vol.354 , pp. 4639-4679
    • Chen, Z.-Q.1
  • 10
    • 52949110957 scopus 로고    scopus 로고
    • Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
    • MR2443765 (2010b:60230)
    • Z.-Q. Chen, P. Kim and T. Kumagai. Weighted Poincaré inequality and heat kernel estimates for finite range jump processes. Math. Ann. 342(4) (2008), 833-883 MR2443765 (2010b:60230)
    • (2008) Math. Ann , vol.342 , Issue.4 , pp. 833-883
    • Chen, Z.-Q.1    Kim, P.2    Kumagai, T.3
  • 11
    • 77952861303 scopus 로고    scopus 로고
    • On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
    • MR2524930
    • Z.-Q. Chen, P. Kim and T. Kumagai. On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Acta Math. Sin. (Engl. Ser.) 25 (2009), 1067-1086. MR2524930
    • (2009) Acta Math. Sin. (Engl. Ser.) , vol.25 , pp. 1067-1086
    • Chen, Z.-Q.1    Kim, P.2    Kumagai, T.3
  • 12
    • 0141799912 scopus 로고    scopus 로고
    • Heat kernel estimates for stable-like processes on d-sets
    • MR2008600 (2005d:60135)
    • Z.-Q. Chen and T. Kumagai. Heat kernel estimates for stable-like processes on d-sets. Stochastic Process Appl. 108 (2003), 27-62. MR2008600 (2005d:60135)
    • (2003) Stochastic Process Appl , vol.108 , pp. 27-62
    • Chen, Z.-Q.1    Kumagai, T.2
  • 13
    • 36148997271 scopus 로고    scopus 로고
    • Heat kernel estimates for jump processes of mixed types on metric measure spaces
    • MR2357678 (2009e:60186)
    • Z.-Q. Chen and T. Kumagai. Heat kernel estimates for jump processes of mixed types on metric measure spaces. Probab. Theory Relat. Fields 140 (2008), 277-317. MR2357678 (2009e:60186)
    • (2008) Probab. Theory Relat. Fields , vol.140 , pp. 277-317
    • Chen, Z.-Q.1    Kumagai, T.2
  • 14
    • 0742317510 scopus 로고    scopus 로고
    • Drift transforms and Green function estimates for discontinuous processes
    • MR1986161 (2004c:60218)
    • Z.-Q. Chen and R. Song. Drift transforms and Green function estimates for discontinuous processes. J. Funct. Anal. 201 (2003), 262-281. MR1986161 (2004c:60218)
    • (2003) J. Funct. Anal , vol.201 , pp. 262-281
    • Chen, Z.-Q.1    Song, R.2
  • 17
    • 0000644312 scopus 로고
    • Analytic approach to the problem of convergence of truncated Levy flights towards the Gaussian stochastic process
    • I. Koponen, Analytic approach to the problem of convergence of truncated Levy flights towards the Gaussian stochastic process, Physical Review E, 52 (1995), 1197-1199.
    • (1995) Physical Review E , vol.52 , pp. 1197-1199
    • Koponen, I.1
  • 18
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • MR956165 (90c:81251)
    • E. H. Lieb and H.-T. Yau. The stability and instability of relativistic matter. Comm. Math. Phys. 118(2) (1988), 177-213. MR956165 (90c:81251)
    • (1988) Comm. Math. Phys , vol.118 , Issue.2 , pp. 177-213
    • Lieb, E.H.1    Yau, H.-T.2
  • 19
    • 4244129908 scopus 로고
    • Stochastic processes with ultraslow convergence to a Gassuan: The truncated Lévy flight
    • MR1303317 (95g:82062)
    • R. N. Mantegna and H. E. Stanley. Stochastic processes with ultraslow convergence to a Gassuan: The truncated Lévy flight. Phys. Rev. Letter 73 (1994), 2946-2949. MR1303317 (95g:82062)
    • (1994) Phys. Rev. Letter , vol.73 , pp. 2946-2949
    • Mantegna, R.N.1    Stanley, H.E.2
  • 21
    • 0000244857 scopus 로고    scopus 로고
    • Financial modeling and option theory with the truncated Lévy process
    • A. Matacz. Financial modeling and option theory with the truncated Lévy process. Int. J. Theor. Appl. Finance 3(1) (2000), 143-160.
    • (2000) Int. J. Theor. Appl. Finance , vol.3 , Issue.1 , pp. 143-160
    • Matacz, A.1
  • 22
    • 0040306512 scopus 로고
    • Renaissance, recollements, mélanges, ralentissement de processus de Markov
    • MR0415784 (54:3862)
    • P.-A. Meyer. Renaissance, recollements, mélanges, ralentissement de processus de Markov. Ann. Inst. Fourier 25 (1975), 464-497. MR0415784 (54:3862)
    • (1975) Ann. Inst. Fourier , vol.25 , pp. 464-497
    • Meyer, P.-A.1
  • 23
    • 34247641640 scopus 로고    scopus 로고
    • Tempering stable processes
    • MR2327834 (2008g:60146)
    • J. Rosiński. Tempering stable processes. Stochastic Process. Appl. 117(6) (2007), 677-707. MR2327834 (2008g:60146)
    • (2007) Stochastic Process. Appl , vol.117 , Issue.6 , pp. 677-707
    • Rosiński, J.1
  • 24
    • 35348836758 scopus 로고    scopus 로고
    • Differentiability of spectral functions for symmetric α-stable processes
    • MR2302522 (2008a:35045)
    • M. Takeda and K. Tsuchida. Differentiability of spectral functions for symmetric α-stable processes. Trans. Amer. Math. Soc. 359 (2007), 4031-4054. MR2302522 (2008a:35045)
    • (2007) Trans. Amer. Math. Soc , vol.359 , pp. 4031-4054
    • Takeda, M.1    Tsuchida, K.2
  • 25
    • 37749005887 scopus 로고    scopus 로고
    • Differentiability of spectral functions for relativistic α-stable processes with application to large deviations
    • MR2366397 (2008j:60191)
    • K. Tsuchida. Differentiability of spectral functions for relativistic α-stable processes with application to large deviations. Potential Anal. 28 (2008), 17-33. MR2366397 (2008j:60191)
    • (2008) Potential Anal , vol.28 , pp. 17-33
    • Tsuchida, K.1


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