Functional inequalities for some generalised Mehler semigroups

Functional inequalities for some generalised Mehler semigroups

We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure \(\sigma\), we prove functional integral inequalities with respect to \(\sigma\), such as logarithmic Sobolev and Poincar\'{e} type. Consequently, some integrability properties of exponentia...

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Veröffentlicht in:arXiv.org 2021-06
Hauptverfasser: Angiuli, L, Ferrari, S, Pallara, D
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Exponential functions
Inequalities
Mathematics - Analysis of PDEs
Mathematics - Functional Analysis
Semigroups
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description We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure \(\sigma\), we prove functional integral inequalities with respect to \(\sigma\), such as logarithmic Sobolev and Poincar\'{e} type. Consequently, some integrability properties of exponential functions with respect to \(\sigma\) are deduced.
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subjects Exponential functions
Inequalities
Mathematics - Analysis of PDEs
Mathematics - Functional Analysis
Semigroups
title Functional inequalities for some generalised Mehler semigroups
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