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

2020/04/10 by Brett D. Wick, Wick, Brett D., Shengkun Wu +1
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA

paper · pdf · doi:10.48550/arxiv.2004.05231

arxiv created 2020/04/10 · openalex publication_date 2020/04/10 · arxiv updated 2020/04/14 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28

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.

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