Logarithmic Sobolev trace inequality

Park, Young Ja

doi:10.1090/S0002-9939-03-07329-5

Logarithmic Sobolev trace inequality
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Proc. Amer. Math. Soc. 132 (2004), 2075-2083 Request permission

Abstract:

A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality.

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