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

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