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Volumn 34, Issue 3, 2006, Pages 1052-1102

Traces of symmetric markov processes and their characterizations

Author keywords

Dirichlet form; Douglas integral; Energy functional; Feller measure; Positive continuous additive functional; Reflected Dirichlet space; Revuz measure; Stochastic analysis; Supplementary Feller measure; Symmetric right process; Time change; Trace

Indexed keywords


EID: 33746227574     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117905000000657     Document Type: Article
Times cited : (43)

References (31)
  • 1
    • 0001584203 scopus 로고
    • Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains
    • MR1106272
    • BASS, F. R. and HSU, P. (1991). Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains. Ann. Probab. 19 486-508. MR1106272
    • (1991) Ann. Probab. , vol.19 , pp. 486-508
    • Bass, F.R.1    Hsu, P.2
  • 2
    • 0000045348 scopus 로고
    • Systèmes de Lévy des processus de Markov
    • MR0343375
    • BENVENISTE, A. and JACOD, J. (1973). Systèmes de Lévy des processus de Markov. Invent. Math. 21 183-198. MR0343375
    • (1973) Invent. Math. , vol.21 , pp. 183-198
    • Benveniste, A.1    Jacod, J.2
  • 6
    • 21144467150 scopus 로고
    • On reflected Dirichlet spaces
    • MR1191106
    • CHEN, Z.-Q. ( 1992). On reflected Dirichlet spaces. Probab. Theory Related Fields 94 135-162. MR1191106
    • (1992) Probab. Theory Related Fields , vol.94 , pp. 135-162
    • Chen, Z.-Q.1
  • 7
    • 0141799912 scopus 로고    scopus 로고
    • Heat kernel estimates for stable-like processes on d-sets
    • MR2008600
    • CHEN, Z.-Q. and KUMAGAI, T. (2003). Heat kernel estimates for stable-like processes on d-sets. Stochastic Process. Appl. 108 27-62. MR2008600
    • (2003) Stochastic Process. Appl. , vol.108 , pp. 27-62
    • Chen, Z.-Q.1    Kumagai, T.2
  • 8
    • 84972496357 scopus 로고
    • Quasi-homeomorphisms of Dirichlet forms
    • MR1309378
    • CHEN, Z.-Q., MA, Z.-M. and RÖCKNER, M. (1994). Quasi-homeomorphisms of Dirichlet forms. Nagoya Math. J. 136 1-15. MR1309378
    • (1994) Nagoya Math. J. , vol.136 , pp. 1-15
    • Chen, Z.-Q.1    Ma, Z.-M.2    Röckner, M.3
  • 9
    • 0017727486 scopus 로고
    • Estimates of harmonic measure
    • MR0466593
    • DAHLBERG, B. (1977). Estimates of harmonic measure. Arch. Rational Mech. Anal. 65 275-288. MR0466593
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 275-288
    • Dahlberg, B.1
  • 10
    • 0040001769 scopus 로고    scopus 로고
    • A note on Beurling-Deny formulae in infinite-dimensional spaces
    • MR1489836
    • DONC, Z., MA, Z.-M. and SUN, W. (1997). A note on Beurling-Deny formulae in infinite-dimensional spaces. Acta Math. Appl. Sinica (English Ser.) 13 353-361. MR1489836
    • (1997) Acta Math. Appl. Sinica (English Ser.) , vol.13 , pp. 353-361
    • Donc, Z.1    Ma, Z.-M.2    Sun, W.3
  • 11
    • 0041162394 scopus 로고
    • Boundary properties of functions with finite Dirichlet integrals
    • MR0173783
    • DOOB, J. L. (1962). Boundary properties of functions with finite Dirichlet integrals. Ann. Inst. Fourier (Grenoble) 12 573-621. MR0173783
    • (1962) Ann. Inst. Fourier (Grenoble) , vol.12 , pp. 573-621
    • Doob, J.L.1
  • 13
    • 0001630128 scopus 로고
    • Time changes of symmetric Markov processes and a Feynman-Kac formula
    • MR1011201
    • FITZSIMMONS, P. J. (1989). Time changes of symmetric Markov processes and a Feynman-Kac formula. J. Theoret. Probab. 2 485-501. MR1011201
    • (1989) J. Theoret. Probab. , vol.2 , pp. 485-501
    • Fitzsimmons, P.J.1
  • 14
    • 38249025828 scopus 로고
    • Markov processes and non-symmetric Dirichlet forms without regularity
    • MR1012207
    • FITZSIMMONS, P. J. (1989). Markov processes and non-symmetric Dirichlet forms without regularity. J. Funct. Anal. 85 287-306. MR1012207
    • (1989) J. Funct. Anal. , vol.85 , pp. 287-306
    • Fitzsimmons, P.J.1
  • 15
    • 0000218287 scopus 로고
    • Revuz measures and time changes
    • MR0958650
    • FITZSIMMONS, P. J. and GETOOR, R. K. (1988). Revuz measures and time changes. Math. Z. 199 233-256. MR0958650
    • (1988) Math. Z. , vol.199 , pp. 233-256
    • Fitzsimmons, P.J.1    Getoor, R.K.2
  • 16
    • 84972541467 scopus 로고
    • On Feller's kernel and the Dirichlet norm
    • MR0168789
    • FUKUSHIMA, M. (1964). On Feller's kernel and the Dirichlet norm. Nagoya Math. J. 24 167-175. MR0168789
    • (1964) Nagoya Math. J. , vol.24 , pp. 167-175
    • Fukushima, M.1
  • 17
    • 84972525210 scopus 로고
    • On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities
    • MR0236998
    • FUKUSHIMA, M. (1969). On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities. J. Math. Soc. Japan 21 58-93. MR0236998
    • (1969) J. Math. Soc. Japan , vol.21 , pp. 58-93
    • Fukushima, M.1
  • 18
    • 0001899737 scopus 로고    scopus 로고
    • On semimartingale characterizations of functional of symmetric Markov processes
    • MR1741537
    • FUKUSHIMA, M. (1999). On semimartingale characterizations of functional of symmetric Markov processes. Electron. J. Probab. 4 1-32. Available at www.math.washington.edu/~ejpecp. MR1741537
    • (1999) Electron. J. Probab. , vol.4 , pp. 1-32
    • Fukushima, M.1
  • 19
    • 8744271490 scopus 로고    scopus 로고
    • Time changes of symmetric diffusions and Feller measures
    • MR2094441
    • FUKUSHIMA, M., HE, P. and YING, J. (2004). Time changes of symmetric diffusions and Feller measures. Ann. Probab. 32 3138-3166. MR2094441
    • (2004) Ann. Probab. , vol.32 , pp. 3138-3166
    • Fukushima, M.1    He, P.2    Ying, J.3
  • 22
    • 0141576695 scopus 로고    scopus 로고
    • Fatou's theorem for censored stable processes
    • MR2008601
    • KIM, P. (2003). Fatou's theorem for censored stable processes. Stochastic Process. Appl. 108 63-92. MR2008601
    • (2003) Stochastic Process. Appl. , vol.108 , pp. 63-92
    • Kim, P.1
  • 23
    • 84858915934 scopus 로고
    • La théorie des espaces fonctionnels à nullité 1 et le problème de Neumann sur les espaces harmoniques
    • MR0508016
    • KORI, T. (1977). La théorie des espaces fonctionnels à nullité 1 et le problème de Neumann sur les espaces harmoniques. Ann. Inst. Fourier (Grenoble) 27 45-119. MR0508016
    • (1977) Ann. Inst. Fourier (Grenoble) , vol.27 , pp. 45-119
    • Kori, T.1
  • 24
    • 0009322463 scopus 로고
    • General boundary conditions for multi-dimensional diffusion processes
    • MR0270445
    • KUNITA, H. (1970). General boundary conditions for multi-dimensional diffusion processes. J. Math. Kyoto Univ. 10 273-335. MR0270445
    • (1970) J. Math. Kyoto Univ. , vol.10 , pp. 273-335
    • Kunita, H.1
  • 25
    • 0036110111 scopus 로고    scopus 로고
    • Reflected Dirichlet forms and the uniqueness of Silverstein's extension
    • MR1885761
    • KUWAE, K. (2002). Reflected Dirichlet forms and the uniqueness of Silverstein's extension. Potential Anal. 16 221-247. MR1885761
    • (2002) Potential Anal. , vol.16 , pp. 221-247
    • Kuwae, K.1
  • 26
    • 33846845906 scopus 로고
    • Balayage et formes de Dirichlet
    • MR0571671
    • LEJAN, Y. (1977). Balayage et formes de Dirichlet. Z. Wahrsch. Verw. Gebiete 37 297-319. MR0571671
    • (1977) Z. Wahrsch. Verw. Gebiete , vol.37 , pp. 297-319
    • Lejan, Y.1
  • 27
    • 0003126003 scopus 로고
    • Measure associées a une forme de Dirichlet
    • MR0508949
    • LEJAN, Y. (1978). Measure associées a une forme de Dirichlet. Applications. Bull. Soc. Math. France 106 61-112. MR0508949
    • (1978) Applications. Bull. Soc. Math. France , vol.106 , pp. 61-112
    • Lejan, Y.1
  • 29
    • 0003796632 scopus 로고
    • Springer, Berlin. MR0817985
    • MAZ'JA, V. G. (1985). Sobolev Spaces. Springer, Berlin. MR0817985
    • (1985) Sobolev Spaces
    • Maz'Ja, V.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.