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Volumn 17, Issue 1, 2002, Pages 1-23

Estimates of Green function for relativistic α-stable process

Author keywords

Green function; Harmonic functions; Poisson kernel; Stable and relativistic stable processes

Indexed keywords


EID: 0036251925     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015231913916     Document Type: Article
Times cited : (148)

References (18)
  • 1
    • 0001017995 scopus 로고
    • Étude des transformations de Riesz dans les variété s Riemanniennes á courbure négative minorée'
    • Lecture Notes in Math. 1274, Springer-Verlag, New York
    • Bakry, D.: Étude des transformations de Riesz dans les variétés Riemanniennes á courbure négative minorée', in Séminaire de Probabilités XXI, Lecture Notes in Math. 1274, Springer-Verlag, New York, 1987.
    • (1987) Séminaire de Probabilités XXI
    • Bakry, D.1
  • 2
    • 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 (1997), 43-80.
    • (1997) Studia Math. , vol.123 , pp. 43-80
    • Bogdan, K.1
  • 3
    • 0000141096 scopus 로고    scopus 로고
    • Probabilistic proof of boundary Harnack principle for symmetric stable processes
    • Bogdan, K. and Byczkowski, T: 'Probabilistic proof of 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
  • 4
    • 0002020384 scopus 로고    scopus 로고
    • Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
    • Bogdan, K. and Byczkowski, T: 'Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains', Studia Math. 133 (1999), 53-92.
    • (1999) Studia Math. , vol.133 , pp. 53-92
    • Bogdan, K.1    Byczkowski, T.2
  • 5
    • 0000760840 scopus 로고
    • On the distribution of first hits for the symmetric stable process
    • Blumenthal, R.M., Getoor, R.K. and Ray, D.B.: 'On the distribution of first hits for the symmetric stable process', 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
  • 7
    • 0003056926 scopus 로고
    • Relativistic Schrödinger operators: Asymptotic behaviour of the eigenfunctions
    • Carmona, R., Masters, W.C. and Simon, B.: 'Relativistic Schrödinger operators: Asymptotic behaviour 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
  • 12
    • 0012896944 scopus 로고
    • On some relations between the harmonic measure and the Lévy measure for certain class of Markov processes
    • Ikeda, N. and Watanabe, S.: 'On some relations between the harmonic measure and the Lévy measure for certain class of Markov processes', J. Math. Kyoto Univ. 2 (1962), 79-95.
    • (1962) J. Math. Kyoto Univ. , vol.2 , pp. 79-95
    • Ikeda, N.1    Watanabe, S.2
  • 13
    • 0002345448 scopus 로고    scopus 로고
    • Properties of Green function of symmetric stable process
    • Kulczycki, T: 'Properties of Green function of symmetric stable process', Probab. Math. Statist. 17 (1997), 339-364.
    • (1997) Probab. Math. Statist. , vol.17 , pp. 339-364
    • Kulczycki, T.1
  • 14
    • 0038434657 scopus 로고    scopus 로고
    • Intrinsic ultracontractivity for symmetric stable process
    • Kulczycki, T.: 'Intrinsic ultracontractivity for symmetric stable process', Bull. Polish Acad. Sci. Math. 46 (1998), 325-334.
    • (1998) Bull. Polish Acad. Sci. Math. , vol.46 , pp. 325-334
    • Kulczycki, T.1
  • 16
    • 84968507650 scopus 로고
    • The stability of matter: From atoms to stars
    • Lieb, E.H.: '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
  • 17
    • 0004263072 scopus 로고
    • Lecture Notes in Math. 508, Springer-Verlag, New York
    • Seneta, E.: Regularly Varying Functions, Lecture Notes in Math. 508, Springer-Verlag, New York, 1976.
    • (1976) Regularly Varying Functions
    • Seneta, E.1
  • 18
    • 0037917507 scopus 로고    scopus 로고
    • On harmonic measure for Lévy process
    • to appear
    • Sztonyk, P.: 'On harmonic measure for Lévy process', to appear in Probab. Math. Statist. (2000).
    • (2000) Probab. Math. Statist.
    • Sztonyk, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.