Boundedness of Gaussian Bessel Potentials and Bessel Fractional Derivatives on variable Gaussian Besov-Lipschitz spaces

Abstract

In this paper we study the regularity properties of the Gaussian Bessel potentials and Gaussian Bessel fractional derivatives on variable Gaussian Besov-Lipschitz spaces $B_{p(\cdot ),q(\cdot )}^{\alpha }({\gamma }_d),$ that were defined in a previous paper \cite{Pinrodurb}, under certain conditions on $p(\cdot )$ and $q(\cdot )$.

arXiv admin note: text overlap with arXiv:2109.09288, arXiv:1108.0238