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On the existence of extremals for Moser type inequalities in Gauss space (2001.02605v2)
Published 8 Jan 2020 in math.FA
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.
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