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

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arxiv 2004.05231 v1 pith:7Z3R6MN6 submitted 2020-04-10 math.FA

classification math.FA
keywords spacefock-sobolevgauss-sobolevintegralmultipliersspacesapplicationboundedness
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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.

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