Logarithmic Sobolev inequality revisited
نویسندگان
چکیده
منابع مشابه
Logarithmic Sobolev inequality revisited
r é s u m é Nous donnons une nouvelle caractérisation de l’inégalité de Sobolev logarithmique. © 2017 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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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. Logarithmic Sobolev inequalities capture the spirit of classical Sobolev inequalities with the logarithm function replacing powers, and they can be considered as limiting cases of...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2017
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.02.009