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Volumn 18, Issue 1, 2002, Pages 147-156

Nash Inequalities for Markov Processes in Dimension One

Author keywords

Birth death process; Diffusion; Hardy type inequality; Nash inequalities

Indexed keywords


EID: 0346773241     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101140100128     Document Type: Article
Times cited : (17)

References (12)
  • 1
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    • Nash inequalities for general symmetric forms
    • Chen M. F., Nash inequalities for general symmetric forms, Acta Mathematica Sinica, English Series, 1999, 15(3): 353-370.
    • (1999) Acta Mathematica Sinica, English Series , vol.15 , Issue.3 , pp. 353-370
    • Chen, M.F.1
  • 2
    • 0006045917 scopus 로고    scopus 로고
    • Sobolev type inequalities for general symmetric forms
    • Wang F. Y., Sobolev type inequalities for general symmetric forms, Proc. Amer. Math. Soc., 1999.
    • (1999) Proc. Amer. Math. Soc.
    • Wang, F.Y.1
  • 4
    • 0002829137 scopus 로고    scopus 로고
    • Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
    • Bobkov S., Götze F., Exponential integrability and transportation cost related to logarithmic Sobolev inequalities, J. Funct. Anal, 1999, 163 (1): 1-28.
    • (1999) J. Funct. Anal , vol.163 , Issue.1 , pp. 1-28
    • Bobkov, S.1    Götze, F.2
  • 5
    • 0001115179 scopus 로고    scopus 로고
    • An example of application of discrete Hardy's inequalities
    • Miclo L., An example of application of discrete Hardy's inequalities, Markov Process and Related Fields, 1999, 5: 319-330.
    • (1999) Markov Process and Related Fields , vol.5 , pp. 319-330
    • Miclo, L.1
  • 6
    • 0346421889 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for birth-death process and diffusion process on the line
    • to appear, in Chinese
    • Mao Y. H., Logarithmic Sobolev inequalities for birth-death process and diffusion process on the line, to appear, J. Appl. Prob. Stat., in Chinese, 2001.
    • (2001) J. Appl. Prob. Stat.
    • Mao, Y.H.1
  • 9
    • 46549093732 scopus 로고
    • Hardy-Littlewood theory for semigroups
    • Varopoulos N., Hardy-Littlewood theory for semigroups, J. Funct. Anal., 1985, 63: 240-260.
    • (1985) J. Funct. Anal. , vol.63 , pp. 240-260
    • Varopoulos, N.1
  • 11
    • 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, Science in China, 1999, 42(8): 805-815.
    • (1999) Science in China , vol.42 , Issue.8 , pp. 805-815
    • Chen, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.