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.

引用

页码：554 / 572

页数：18