Integral Operators on Fock-Sobolev Spaces via Multipliers on Gauss-Sobolev Spaces

Abstract

In this paper, we obtain an isometry between the Fock-Sobolev space and the Gauss-Sobolev space. As an application, we use multipliers on the Gauss-Sobolev space to characterize the boundedness of an integral operator on the Fock-Sobolev space.