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

被引：0
|
作者：
Brett D. Wick
Shengkun Wu
机构：
[1] Washington University in St. Louis,Department of Mathematics and Statistics
[2] Chongqing University,College of Mathematics and Statistics
来源：
Integral Equations and Operator Theory | 2022年 / 94卷
关键词：
Fock–Sobolev spaces; Gauss–Sobolev spaces; Integral operators; Multipliers; 30H20; 42B15; 44A15;
D O I：
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学科分类号：
摘要：
In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–Sobolev space with the same order. 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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