Toeplitz Operators with BMO Symbols on the Weighted Bergman Space of the Unit Ball

被引：4

作者：

Zhang, Kan ^{[1
,2
]}

Liu, Chao Mei ^{[3
]}

Lu, Yu Feng ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Shenyang Agr Univ, Coll Sci, Shenyang 110161, Peoples R China

[3] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; BMO; Berezin transform; BOUNDED SYMMETRIC DOMAINS; BEREZIN TRANSFORM; HANKEL-OPERATORS;

D O I：

10.1007/s10114-011-0038-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMO(alpha)(1) symbol on the weighted Bergman space A(alpha)(2)(B(n)) of the unit ball is completely determined by the behavior of its Berezin transform, where alpha > -1 and n >= 1.

引用

页码：2129 / 2142

页数：14

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