A logarithmic Sobolev inequality for the free loop group;Une inégalité de Sobolev logarithmique pour un groupe libre de lacets

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 2, 1998, Pages 223-228

  Carson, Trevor R ^a  

^a LOCKHEED MARTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031616569     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)89475-X     Document Type: Article

References (7)

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3. [3] Driver B.K., Hu Y., On the heat kernel logarithmic Soholev inequalities, in: "Proceedings of the Fifth Gregynog Symposium" Davies I.M.. Truman A., Elworthy (Eds.). Stochastic Anal. Appl., World Scientific. N.J.. 1996, pp. 189-200.
4. [4] Driver B.K., Lohrenz T., Logarithmic Soholev inequalities for pinned loop groups. J. Funct. Anal. 140 (1996) 381-448.
5. [5] Gross L., Logarithmic Soholev inequalities and contractivity properties of semigroups, Dirichlet forms (Varenna. 1992). Lecture Notes in Math. 1563, Springer, Berlin, 1993. pp. 54-88.
6. [6] Ikeda N.. Watanabe S.. Stochastic differential equations and diffusion processes, North-Holland Publishing Company, Amsterdam/Oxford/New York, 1981.
7. [7] Malliavin P., Hypoellipticity in infinite dimension. in: Diffusion process and related problems in analysis. Vol. I. Pinsky Mark A. (ed.), Chicago 1989, Birkhäuser, 1991.