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5. THE LOGARITHMIC SOBOLEV INEQUALITY ON LOOP SPACE OVER THE HYPERBOLIC SPACE

THE LOGARITHMIC SOBOLEV INEQUALITY ON LOOP SPACE OVER THE HYPERBOLIC SPACE

来源 :The 11th Workshop on Markov Processes and Related Topics(第十一 | 被引量 : 0次 | 上传用户：qwdfafsfsf

【摘 要】

：

　　In this talk,we prove a log-Sobolev inequality with explicit potential for the gradient on a based loop space over the hyperbolic space Hn(c).And the potent

【作 者】

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Bo Wu 

【机 构】

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SchoolofMathematicalSciences,FudanUniversity,Shanghai200433,China

【出 处】

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The 11th Workshop on Markov Processes and Related Topics(第十一

【发表日期】

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2015年6期

【关键词】

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Logarithmic Sobolev inequality Loop space Hyperbolic space 

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　　In this talk,we prove a log-Sobolev inequality with explicit potential for the gradient on a based loop space over the hyperbolic space Hn(c).And the potential function relies only the curvature c and the dimension n of the manifold.

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