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Volumn 179, Issue 1, 2001, Pages 170-213

Logarithmic Sobolev Inequality on Free Loop Groups for Heat Kernel Measures Associated with the General Sobolev Spaces

Author keywords

Free loop group; Heat kernel measure; Logarithmic Sobolev inequality

Indexed keywords


EID: 0012995671     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3677     Document Type: Article
Times cited : (10)

References (10)
  • 1
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    • On Sobolev and logarithmic Sobolev inequalities for Markov semigroups
    • Singapore: World Scientific. p. 43-75
    • Bakry D. On Sobolev and logarithmic Sobolev inequalities for Markov semigroups. New Trends in Stochastic Analysis. 1997;World Scientific, Singapore. p. 43-75.
    • (1997) New Trends in Stochastic Analysis
    • Bakry, D.1
  • 3
    • 0031616569 scopus 로고    scopus 로고
    • A logarithmic Sobolev inequality for the free loop group
    • Carson T. R. A logarithmic Sobolev inequality for the free loop group. C. R. Acad. Sci. Paris Ser. I Math. 326:1998;223-228.
    • (1998) C. R. Acad. Sci. Paris Ser. I Math. , vol.326 , pp. 223-228
    • Carson, T.R.1
  • 4
    • 0000515916 scopus 로고    scopus 로고
    • Integration by parts and quasi-invariance for heat kernel measures on loop groups
    • Driver B. K. Integration by parts and quasi-invariance for heat kernel measures on loop groups. J. Funct. Anal. 149:1997;470-547.
    • (1997) J. Funct. Anal. , vol.149 , pp. 470-547
    • Driver, B.K.1
  • 5
    • 0012901173 scopus 로고    scopus 로고
    • A correction to the paper "integration by parts and quasi-invariance for heat kernel measures on loop groups"
    • Driver B. K. A correction to the paper "Integration by parts and quasi-invariance for heat kernel measures on loop groups" J. Funct. Anal. 155:1998;297-301.
    • (1998) J. Funct. Anal. , vol.155 , pp. 297-301
    • Driver, B.K.1
  • 7
    • 0030587376 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for pinned loop groups
    • Driver B. K., Lohrenz T. Logarithmic Sobolev inequalities for pinned loop groups. J. Funct. Anal. 140:1996;381-448.
    • (1996) J. Funct. Anal. , vol.140 , pp. 381-448
    • Driver, B.K.1    Lohrenz, T.2
  • 8
    • 0033540184 scopus 로고    scopus 로고
    • Ricci tensors on some infinite dimensional Lie algebras
    • Fang S. Ricci tensors on some infinite dimensional Lie algebras. J. Funct. Anal. 161:1999;132-151.
    • (1999) J. Funct. Anal. , vol.161 , pp. 132-151
    • Fang, S.1
  • 9
    • 84972518061 scopus 로고
    • The geometry of loop groups
    • Freed D. S. The geometry of loop groups. J. Differential Geom. 28:1988;223-276.
    • (1988) J. Differential Geom. , vol.28 , pp. 223-276
    • Freed, D.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.