An extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces

Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan

We generalize the Beckner's type Poincaré inequality \cite{Beckner} to a large class of probability measures on an abstract Wiener space of the form $\mu \star \nu$, where $\mu$ is the ref…