On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

Andrea Cianchi, Vít Musil, Luboš Pick

Type: Article

Publication Date: 2020-06-12

Citations: 6

DOI: https://doi.org/10.1093/imrn/rnaa165

Abstract

The existence of an extremal in an exponential Sobolev type inequality, with optimal constant, in Gauss space is established. A key step in the proof is an augmented version of the relevant inequality, which, by contrast, fails for a parallel classical inequality by Moser in the Euclidean space.

Locations

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+	Some connections between isoperimetric and Sobolev-type inequalities	1997	Serguei G. Bobkov Christian Houdré
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