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تسجيل مستخدم جديدFunctional inequalities for some generalised Mehler semigroups
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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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