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.
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页码：599 / 608
页数：10
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