A BOUNDEDNESS CRITERION FOR TOEPLITZ OPERATORS IN WEIGHTED SOBOLEV SPACES OF HOLOMORPHIC FUNCTIONS ON THE POLYDISK

被引：0
|
作者：
Shamoyan, F. A. [1 ]
机构：
[1] Bryansk State Univ, Bryansk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
unit torus; holomorphic function; Sobolev space; Toeplitz operator; harmonic function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：554 / 572
页数：19
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