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Functional inequalities for some generalised Mehler semigroups
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Functional inequalities for some generalised Mehler semigroups
classification
math.AP
math.FA
keywords
sigmafunctionalgeneralisedinequalitiesmehlerrespectsemigroupssome
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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