Isoperimetric inequalities for the heat potential operator

2018

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DOI 10.2298/fil1803903k
Data confidence 70 medium
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Abstract

In this paper we prove that the circular cylinder is a maximizer of the Schatten p-norm of heat potential operator among all Euclidean cylindric domains of a given measure. We also give analogues of a Rayleigh-Faber-Krahn and a Hong-Krahn-Szeg? type inequalities.