메뉴 건너뛰기




Volumn 201, Issue 1, 2003, Pages 262-281

Drift transforms and Green function estimates for discontinuous processes

Author keywords

Conditional gauge theorem; Conditional symmetric stable process; Green function

Indexed keywords


EID: 0742317510     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(03)00087-9     Document Type: Article
Times cited : (73)

References (30)
  • 1
    • 0001017995 scopus 로고
    • Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée
    • J. Azéma, P.A. Meyer, M. Yor (Eds.), Lecture Notes in Mathematics, Vol. 1247, Springer, New York
    • D. Bakry, Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorée, in: J. Azéma, P.A. Meyer, M. Yor (Eds.), Séminaire de Probabilités, XXI, Lecture Notes in Mathematics, Vol. 1247, Springer, New York, 1988, pp. 137-172.
    • (1988) Séminaire de Probabilités, XXI , pp. 137-172
    • Bakry, D.1
  • 2
    • 0000045348 scopus 로고
    • Systèmes de Lévy des processus de Markov
    • A. Benveniste, J. Jacod, Systèmes de Lévy des processus de Markov, Invent. Math. 21 (1973) 183-198.
    • (1973) Invent. Math. , vol.21 , pp. 183-198
    • Benveniste, A.1    Jacod, J.2
  • 4
    • 0003056926 scopus 로고
    • Relativistic Schrödinger operators: Asymptotic behavior of the eigenvalues
    • R. Carmona, W.C. Masters, B. Simon, Relativistic Schrödinger operators: asymptotic behavior of the eigenvalues, 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
  • 5
    • 0000424092 scopus 로고    scopus 로고
    • Multidimensional symmetric stable processes
    • Z.-Q. Chen, Multidimensional symmetric stable processes, Korean J. Comput. Appl. Math. 6 (1999) 227-266.
    • (1999) Korean J. Comput. Appl. Math. , vol.6 , pp. 227-266
    • Chen, Z.-Q.1
  • 6
    • 0036829105 scopus 로고    scopus 로고
    • Gaugeability and conditional gaugeability
    • Z.-Q. Chen, Gaugeability and conditional gaugeability, Trans. Amer. Math. Soc. 354 (2002) 4639-4679.
    • (2002) Trans. Amer. Math. Soc. , vol.354 , pp. 4639-4679
    • Chen, Z.-Q.1
  • 8
    • 0032335134 scopus 로고    scopus 로고
    • Estimates on Green functions and Poisson kernels of symmetric stable processes
    • Z.-Q. Chen, R. Song, Estimates on Green functions and Poisson kernels of symmetric stable processes, Math. Ann. 312 (1998) 465-601.
    • (1998) Math. Ann. , vol.312 , pp. 465-601
    • Chen, Z.-Q.1    Song, R.2
  • 9
    • 0036630931 scopus 로고    scopus 로고
    • General gauge and conditional gauge theorems
    • Z.-Q. Chen, R. Song, General gauge and conditional gauge theorems, Ann. Probab. 30 (2002) 1313-1339.
    • (2002) Ann. Probab. , vol.30 , pp. 1313-1339
    • Chen, Z.-Q.1    Song, R.2
  • 10
    • 0037934617 scopus 로고    scopus 로고
    • Conditional gauge theorem for non-local Feynman-Kac transforms
    • Z.-Q. Chen, R. Song, Conditional gauge theorem for non-local Feynman-Kac transforms, Probab. Theory Related Fields 125 (2002) 45-72.
    • (2002) Probab. Theory Related Fields , vol.125 , pp. 45-72
    • Chen, Z.-Q.1    Song, R.2
  • 12
    • 0039679171 scopus 로고
    • Conditional transformation of drift formula and potential theory for 1/2 τ2 + b(·)· τ4
    • M. Cranston, Z. Zhao, Conditional transformation of drift formula and potential theory for 1/2 τ2 + b(·)· τ4, Comm. Math. Phys. 112 (1987) 613-625.
    • (1987) Comm. Math. Phys. , vol.112 , pp. 613-625
    • Cranston, M.1    Zhao, Z.2
  • 13
    • 0001611749 scopus 로고
    • On the excursions of Markov processes in classical duality
    • P.J. Fitzsimmons, On the excursions of Markov processes in classical duality, Probab. Theory Related Fields 75 (1987) 159-178.
    • (1987) Probab. Theory Related Fields , vol.75 , pp. 159-178
    • Fitzsimmons, P.J.1
  • 14
    • 0003199497 scopus 로고    scopus 로고
    • Smooth measures and continuous additive functionals of right Markov processes
    • N. Ikeda, S. Watanabe, M. Fukushima, H. Kunita (Eds.), Springer, Tokyo
    • P.J. Fitzsimmons, R.K. Getoor, Smooth measures and continuous additive functionals of right Markov processes, in: N. Ikeda, S. Watanabe, M. Fukushima, H. Kunita (Eds.), Ito's Stochastic Calculus and Probability Theory, Springer, Tokyo, 1996.
    • (1996) Ito's Stochastic Calculus and Probability Theory
    • Fitzsimmons, P.J.1    Getoor, R.K.2
  • 16
    • 0000885577 scopus 로고
    • Transience and recurrence of Markov processes
    • Lecture Notes in Mathematics, Springer, New York
    • R.K. Getoor, Transience and recurrence of Markov processes, in: Séminaire de Probabilités, XIV, Lecture Notes in Mathematics, Vol. 784, Springer, New York, 1980, pp. 397-409.
    • (1980) Séminaire de Probabilités, XIV , vol.784 , pp. 397-409
    • Getoor, R.K.1
  • 17
    • 84967713035 scopus 로고
    • Riesz decompositions in Markov process theory
    • R.K. Getoor, J. Glover, Riesz decompositions in Markov process theory, Trans. Amer. Math. Soc. 285 (1984) 107-132.
    • (1984) Trans. Amer. Math. Soc. , vol.285 , pp. 107-132
    • Getoor, R.K.1    Glover, J.2
  • 19
    • 0012896944 scopus 로고
    • On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes
    • N. Ikeda, S. Watanabe, On some relations between the harmonic measure and the Lévy measure for a 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
  • 22
    • 0001172876 scopus 로고
    • Notes on transformations of Markov processes connected with multiplicative functionals
    • H. Kunita, T. Watanabe, Notes on transformations of Markov processes connected with multiplicative functionals, Mem. Fac. Sci. Kyushu Univ. Ser. A 17 (1963) 181-191.
    • (1963) Mem. Fac. Sci. Kyushu Univ. Ser. A , vol.17 , pp. 181-191
    • Kunita, H.1    Watanabe, T.2
  • 23
    • 0038255066 scopus 로고    scopus 로고
    • Properties of Green function of symmetric stable processes
    • T. Kulczycki, Properties of Green function of symmetric stable processes, Probab. Math. Statist. 17 (1997) 381-406.
    • (1997) Probab. Math. Statist. , vol.17 , pp. 381-406
    • Kulczycki, T.1
  • 24
    • 51149214209 scopus 로고
    • The stability of matter
    • E. Lieb, The stability of matter, Rev. Modern Phys. 48 (1976) 553-569.
    • (1976) Rev. Modern Phys. , vol.48 , pp. 553-569
    • Lieb, E.1
  • 25
    • 0002667676 scopus 로고
    • Stability and instability of relativistic matter
    • E. Lieb, H.T. Yau, Stability and instability of relativistic matter, Comm. Math. Phys. 118 (1988) 177-213.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 177-213
    • Lieb, E.1    Yau, H.T.2
  • 26
    • 0001376031 scopus 로고
    • Mesures associes aux fonctionelles additives de Markov
    • D. Revuz, Mesures associes aux fonctionelles additives de Markov, I. Trans. Amer. Math. Soc. 148 (1970) 501-531.
    • (1970) I. Trans. Amer. Math. Soc. , vol.148 , pp. 501-531
    • Revuz, D.1
  • 27
    • 0036251925 scopus 로고    scopus 로고
    • Estimates of Green functions for relativistic α-stable process
    • M. Ryznar, Estimates of Green functions for relativistic α-stable process, Potential Anal. 17 (2002) 1-23.
    • (2002) Potential Anal. , vol.17 , pp. 1-23
    • Ryznar, M.1
  • 30
    • 0002341788 scopus 로고
    • Subcriticality and gaugeability of the Schrödinger operator
    • Z. Zhao, Subcriticality and gaugeability of the Schrödinger operator, Trans. Amer. Math. Soc. 334 (1992) 75-96.
    • (1992) Trans. Amer. Math. Soc. , vol.334 , pp. 75-96
    • Zhao, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.