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-Szegö type inequalities.
- Heat potential operator
- Hong-Krahn-Szegö inequality
- Rayleigh-Faber-Krahn inequality
- Schatten p-norm
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