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Logarithmic Sobolev Inequalities of Diffusions for theL2Metric

✍ Scribed by Mathieu Gourcy; Liming Wu

Publisher: Springer Netherlands
Year: 2007
Tongue: English
Weight: 243 KB
Volume: 26
Category: Article
ISSN: 0926-2601
DOI: 10.1007/s11118-007-9037-5

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dedicated to professor norio shimakura on the occasion of his sixtieth birthday In this paper, we will give a sufficient condition on the logarithmic derivative of the heat kernel under which a logarithmic Sobolev inequality (LSI, in abbreviation) on a loop space holds. As an application, we prove