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

页码：554 / 572

页数：19

共 28 条

[1]

[Anonymous], 2002, Mathematical Surveys and Monographs

[2]

[Anonymous], MATH USSR SBORNIK

[3] The Cauchy transform of continuous linear functionals and projections on the weighted spaces of analytic functions [J].