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 & eacute; type. Consequently, some integrability properties of exponential functions with respect to sigma are deduced.
Functional Inequalities for Some Generalised Mehler Semigroups
Luciana Angiuli;Simone Ferrari
;Diego Pallara
2023-01-01
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 & eacute; type. Consequently, some integrability properties of exponential functions with respect to sigma are deduced.File in questo prodotto:
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