메뉴 건너뛰기




Volumn 128, Issue 4, 2004, Pages 606-628

Sharp bounds on the density, Green function and jumping function of subordinate killed BM

Author keywords

Fractional Laplacian; Green function; Jumping function; Killed Brownian motions; Stable processes; Subordination; Transition density

Indexed keywords


EID: 1842590592     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0316-9     Document Type: Article
Times cited : (40)

References (22)
  • 3
    • 0038095787 scopus 로고
    • Quelques résultats probabilistes sur la subordination au sens de Bochner
    • Seminar on Potential Theory, Paris, No. 7, Springer, Berlin
    • Bouleau, N.: Quelques résultats probabilistes sur la subordination au sens de Bochner. In: Seminar on Potential Theory, Paris, No. 7, Lecture Notes in Math., 1061, Springer, Berlin, 1984, pp. 54-81
    • (1984) Lecture Notes in Math. , vol.1061 , pp. 54-81
    • Bouleau, N.1
  • 4
    • 0032335134 scopus 로고    scopus 로고
    • Estimates on Green functions and Poisson kernels for symmetric stable processes
    • Chen, Z.-Q., Song, R.: Estimates on Green functions and Poisson kernels for symmetric stable processes. Math. Ann. 312, 465-501 (1998)
    • (1998) Math. Ann. , vol.312 , pp. 465-501
    • Chen, Z.-Q.1    Song, R.2
  • 5
    • 0036630931 scopus 로고    scopus 로고
    • General gauge and conditional gauge theorems
    • Chen,Z.-Q., Song, R.: General gauge and conditional gauge theorems. Ann. Probab. 30, 1313-1339 (2002)
    • (2002) Ann. Probab. , vol.30 , pp. 1313-1339
    • Chen, Z.-Q.1    Song, R.2
  • 8
    • 84972575662 scopus 로고
    • A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
    • Fabes, E.B., Garofalo, N., Salsa, S.: A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations. Illinois J. Math. 30, 536-565 (1986)
    • (1986) Illinois J. Math. , vol.30 , pp. 536-565
    • Fabes, E.B.1    Garofalo, N.2    Salsa, S.3
  • 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, 75-104 (2001)
    • (2001) Math. Nachr. , vol.224 , pp. 75-104
    • Farkas, W.1    Jacob, N.2
  • 12
    • 0012896944 scopus 로고
    • On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes
    • Ikeda, N., Watanabe, S.: On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes. J. Math. Kyoto Univ. 2, 79-95 (1962)
    • (1962) J. Math. Kyoto Univ. , vol.2 , pp. 79-95
    • Ikeda, N.1    Watanabe, S.2
  • 13
    • 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, 59-91 (1999)
    • (1999) Rev. Mat. Iberoamericana , vol.15 , pp. 59-91
    • Jacob, N.1    Schilling, R.2
  • 14
    • 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. Statist. 17, 339-364 (1997)
    • (1997) Probab. Math. Statist. , vol.17 , pp. 339-364
    • Kulczycki, T.1
  • 15
    • 0037758119 scopus 로고
    • The subordination of Levy system for Markov processes
    • Miyake, A.: The subordination of Levy system for Markov processes. Proc. Japan Acad. 45, 601-604 (1969)
    • (1969) Proc. Japan Acad. , vol.45 , pp. 601-604
    • Miyake, A.1
  • 17
    • 0013064873 scopus 로고
    • On the domain of the generator of a subordinate semigroup
    • J. Král et al. (eds.), Potential theory-ICPT 94, Kouty (CR), de Gruyter
    • Schilling, R.L.: On the domain of the generator of a subordinate semigroup. In: J. Král et al. (eds.), Potential theory-ICPT 94. Proceedings Intl. Conf. Potential Theory, Kouty (CR), 1994 de Gruyter. 1996, pp. 449-462
    • (1994) Proceedings Intl. Conf. Potential Theory , pp. 449-462
    • Schilling, R.L.1
  • 18
    • 0037933350 scopus 로고    scopus 로고
    • Potential theory of subordinate killed Brownian motion in a domain
    • Song, R., Vondracek, Z.: Potential theory of subordinate killed Brownian motion in a domain. Probab. Theory Relat. Fields. 135, 578-592 (2003)
    • (2003) Probab. Theory Relat. Fields. , vol.135 , pp. 578-592
    • Song, R.1    Vondracek, Z.2
  • 20
    • 0036647454 scopus 로고    scopus 로고
    • The boundary behavior of heat kernels of Dirichlet Laplacians
    • Zhang, Q.S.: The boundary behavior of heat kernels of Dirichlet Laplacians. J. Diff. Eqs. 182, 416-430 (2002)
    • (2002) J. Diff. Eqs. , vol.182 , pp. 416-430
    • Zhang, Q.S.1
  • 21
    • 0038625395 scopus 로고    scopus 로고
    • The global behavior of heat kernels in exterior domains
    • Zhang, Q.S.: The global behavior of heat kernels in exterior domains. J. Funct. Anal. 200, 160-176 (2003)
    • (2003) J. Funct. Anal. , vol.200 , pp. 160-176
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.