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Logarithmic Sobolev inequality for symmetric forms

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Abstract

Some estimates of logarithmic Sobolev constant for general symmetric forms are obtained in terms of new Cheeger’s constants. The estimates can be sharp in some sense.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Mufa Chen

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  1. Mufa Chen
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Chen, M. Logarithmic Sobolev inequality for symmetric forms. Sci. China Ser. A-Math. 43, 601–608 (2000). https://doi.org/10.1007/BF02908771

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  • DOI: https://doi.org/10.1007/BF02908771

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