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Volumn 19, Issue 4, 2003, Pages 625-644

Variational Formulas of Poincaré-type Inequalities for Birth-Death Processes

Author keywords

Birth death process; Logarithmic sobolev inequality; Nash inequality; Orlicz space; Poincar inequality; Variational formula

Indexed keywords


EID: 1442354135     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-003-0308-9     Document Type: Article
Times cited : (14)

References (11)
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    • Chen, M. F.: Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Acta Math. Sin. Eng. Ser., 18(3), 417-436 (2002)
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    • Chen, M.F.1
  • 2
    • 0042762343 scopus 로고    scopus 로고
    • Analytic proof of dual variational formula for the first eigenvalue in dimension one
    • Chen, M. F.: Analytic proof of dual variational formula for the first eigenvalue in dimension one. Sci. in Chin. (A), 42(8), 805-815 (1999)
    • (1999) Sci. in Chin. (A) , vol.42 , Issue.8 , pp. 805-815
    • Chen, M.F.1
  • 3
    • 52549104564 scopus 로고    scopus 로고
    • Variational formulas and approximation theorems for the first eigenvalue in dimension one
    • Chen, M. F.: Variational formulas and approximation theorems for the first eigenvalue in dimension one. Sci. in Chin. (A), 44(4), 409-418 (2001)
    • (2001) Sci. in Chin. (A) , vol.44 , Issue.4 , pp. 409-418
    • Chen, M.F.1
  • 4
    • 0004828917 scopus 로고    scopus 로고
    • Explicit bounds of the first eigenvalue
    • Chen, M. F.: Explicit bounds of the first eigenvalue. Sci. in Chin. (A), 43(10), 1051-1059 (2000)
    • (2000) Sci. in Chin. (A) , vol.43 , Issue.10 , pp. 1051-1059
    • Chen, M.F.1
  • 5
    • 0002829137 scopus 로고    scopus 로고
    • Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
    • Bobkov, S. G., Götze, F.: Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal., 163, 1-28 (1999)
    • (1999) J. Funct. Anal. , vol.163 , pp. 1-28
    • Bobkov, S.G.1    Götze, F.2
  • 7
    • 46549093732 scopus 로고
    • Hardy-Littlewood theory for semigroups
    • Varopoulos, N.: Hardy-Littlewood theory for semigroups. J. Funct. Anal., 63, 240-260 (1985)
    • (1985) J. Funct. Anal. , vol.63 , pp. 240-260
    • Varopoulos, N.1
  • 10
    • 0346773241 scopus 로고    scopus 로고
    • Nash inequalities for Markov processes in dimension one
    • Mao, Y. H.: Nash inequalities for Markov processes in dimension one. Acta Math. Sin. Eng. Ser., 18(1), 147-156 (2002)
    • (2002) Acta Math. Sin. Eng. Ser. , vol.18 , Issue.1 , pp. 147-156
    • Mao, Y.H.1
  • 11
    • 0347462923 scopus 로고    scopus 로고
    • The logarithmic Sobolev inequalities for birth-death process and diffusion process on the line
    • Mao, Y. H.: The logarithmic Sobolev inequalities for birth-death process and diffusion process on the line. Chin. J. Appl. Prob. Statis., 18(1), 94-100 (2002)
    • (2002) Chin. J. Appl. Prob. Statis. , vol.18 , Issue.1 , pp. 94-100
    • Mao, Y.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.