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arXiv · 2106.04241

Functional inequalities for some generalised Mehler semigroups

L. Angiuli·S. Ferrari·D. Pallara
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Abstract

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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L. Angiuli, S. Ferrari, D. Pallara. 2021-06-08. Functional inequalities for some generalised Mehler semigroups. https://doi.org/10.1007/s10959-022-01215-8.

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