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Volumn 215, Issue 2, 2004, Pages 399-426

Harmonic functions of subordinate killed Brownian motion

Author keywords

Boundary Harnack principle; Fractional Laplacian; Green function; Harmonic functions; Harnack inequality; Intrinsic ultracontractivity; Killed Brownian motions; Martin boundary; Martin kernel; Subordination

Indexed keywords


EID: 4344667711     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2004.01.001     Document Type: Article
Times cited : (17)

References (18)
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  • 3
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    • Drift transforms and Green function estimates for discontinuous processes
    • Chen Z.-Q. Song R. 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
  • 6
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    • Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
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    • Davies, E.B.1    Simon, B.2
  • 7
    • 44949274310 scopus 로고
    • Intrinsic ultracontractivity and the Dirichlet Laplacian
    • Davis B. Intrinsic ultracontractivity and the Dirichlet Laplacian J. Funct. Anal. 100 1991 163-180
    • (1991) J. Funct. Anal. , vol.100 , pp. 163-180
    • Davis, B.1
  • 9
    • 0037907017 scopus 로고    scopus 로고
    • Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions
    • Farkas W. Jacob N. Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions Math. Nachr. 224 2001 75-104
    • (2001) Math. Nachr. , vol.224 , pp. 75-104
    • Farkas, W.1    Jacob, N.2
  • 11
    • 0033483059 scopus 로고    scopus 로고
    • Some Dirichlet spaces obtained by subordinate reflected diffusions
    • Jacob N. Schilling R. Some Dirichlet spaces obtained by subordinate reflected diffusions Rev. Mat. Iberoamericana 15 1999 59-91
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    • Jacob, N.1    Schilling, R.2
  • 14
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    • On the domain of the generator of a subordinate semigroup
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    • R.L. Schilling, On the domain of the generator of a subordinate semigroup, in: J. Král et al. (Eds.), Potential Theory-ICPT 94, Proceedings of International Conference on Potential Theory, Kouty (CR), 1994, de Gruyter, 1996, pp. 449-462
    • (1996) Potential Theory-ICPT 94 , pp. 449-462
    • Schilling, R.L.1
  • 15
    • 1842590592 scopus 로고    scopus 로고
    • Sharp bounds on the density, Green function and jumping function of subordinate killed BM
    • (to appear)
    • R. Song, Sharp bounds on the density, Green function and jumping function of subordinate killed BM, Probab. Th. Rel. Fields (to appear) 2004
    • (2004) Probab. Th. Rel. Fields
    • Song, R.1
  • 17
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    • Potential theory of subordinate killed brownian motion in a domain
    • Song R. Vondraček Z. Potential theory of subordinate killed brownian motion in a domain Probab. Theory Related Fields 125 2003 578-592
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    • Song, R.1    Vondraček, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.