A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk

被引：0
|
作者：
F. A. Shamoyan
机构：
[1] Bryansk State University,
来源：
Siberian Mathematical Journal | 2012年 / 53卷 / 3期
关键词：
unit torus; holomorphic function; Sobolev space; Toeplitz operator; harmonic function;
D O I：
10.1134/S003744661202036X
中图分类号：
学科分类号：
摘要：
We obtain a full description of the summable functions h on the torus which admit pluriharmonic continuation to the unit polydisk for which the Toeplitz operator with symbol h is a bounded operator in the weighted Sobolev spaces of holomorphic functions.
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页码：554 / 572
页数：18
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