Toeplitz operators with BMO symbols of several complex variables

被引：1

作者：

He, Zhong Hua ^{[1
]}

Cao, Guang Fu ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; Bergman space; Berezin transform;

D O I：

10.1007/s10114-012-9322-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove that the boundedness and compactness of the Toeplitz operator on the Bergman space L-a(2)(B-n) for several complex variables with a BMO1 symbol is completely determined by the boundary behavior of its Berezin transform.

引用

页码：599 / 608

页数：10

共 9 条

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