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Volumn 124, Issue 4, 2002, Pages 595-610

Green function estimate for censored stable processes

Author keywords

Capacity; Censored stable process; Green function; Harmonic function; Martin boundary; Martin kernel

Indexed keywords


EID: 0036882783     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-002-0226-2     Document Type: Article
Times cited : (64)

References (20)
  • 4
    • 0031444990 scopus 로고    scopus 로고
    • The boundary Harnack principle for the fractional Laplacian
    • Bogdan, K.: The boundary Harnack principle for the fractional Laplacian. Studia Math. 123, 43-80 (1997)
    • (1997) Studia Math. , vol.123 , pp. 43-80
    • Bogdan, K.1
  • 5
    • 0034652877 scopus 로고    scopus 로고
    • Sharp estimates for the Green function in Lipschitz domains
    • Bogdan, K.: Sharp estimates for the Green function in Lipschitz domains. J. Math. Anal. Appl. 243, 326-337 (2000)
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 326-337
    • Bogdan, K.1
  • 7
    • 0000424092 scopus 로고    scopus 로고
    • Multidimensional symmetric stable processes
    • Chen, Z.-Q.: Multidimensional symmetric stable processes. Korean J. Comput. Appl. Math. 6, 227-266 (1999)
    • (1999) Korean J. Comput. Appl. Math. , vol.6 , pp. 227-266
    • Chen, Z.-Q.1
  • 8
    • 0013344516 scopus 로고    scopus 로고
    • Gaugeability and conditional gaugeability
    • Preprint
    • Chen, Z.-Q.: Gaugeability and conditional gaugeability. Preprint, 2001. To appear in Trans. Amer. Math. Soc.
    • (2001) Trans. Amer. Math. Soc.
    • Chen, Z.-Q.1
  • 9
    • 0032335134 scopus 로고    scopus 로고
    • Estimates on Green functions and Poisson kernels of symmetric stable processes
    • Chen, Z.-Q., Song, R.: Estimates on Green functions and Poisson kernels of symmetric stable processes. Math. Ann. 312, 465-601 (1998)
    • (1998) Math. Ann. , vol.312 , pp. 465-601
    • Chen, Z.-Q.1    Song, R.2
  • 10
    • 0001600528 scopus 로고    scopus 로고
    • Martin boundary and integral representation for harmonic functions of symmetric stable processes
    • Chen, Z.-Q., Song, R.: Martin boundary and integral representation for harmonic functions of symmetric stable processes. J. Funct. Anal. 159, 267-294 (1998)
    • (1998) J. Funct. Anal. , vol.159 , pp. 267-294
    • Chen, Z.-Q.1    Song, R.2
  • 11
    • 0013393239 scopus 로고    scopus 로고
    • Hardy inequality for censored stable processes
    • Chen, Z.-Q, Song, R.: Hardy inequality for censored stable processes. Preprint 2001 To appear in Tohoku Math. J.
    • (2001) Tohoku Math. J.
    • Chen, Z.-Q.1    Song, R.2
  • 15
    • 0002345448 scopus 로고    scopus 로고
    • Properties of Green function of symmetric stable processes
    • Kulczycki, T.: Properties of Green function of symmetric stable processes. Probab. Math. Stat. 17, 339-364 (1997)
    • (1997) Probab. Math. Stat. , vol.17 , pp. 339-364
    • Kulczycki, T.1
  • 16
    • 84972514341 scopus 로고
    • Markov processes and Martin boundaries. III
    • Kunita, H., Watanabe, T.: Markov processes and Martin boundaries. III. J. Math. 9, 485-526 (1965)
    • (1965) J. Math. , vol.9 , pp. 485-526
    • Kunita, H.1    Watanabe, T.2
  • 20
    • 0000195746 scopus 로고
    • Le problème de dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • Stampacchia, G.: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier, Grenoble, 15, 189-258 (1965)
    • (1965) Ann. Inst. Fourier, Grenoble , vol.15 , pp. 189-258
    • Stampacchia, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.