Toeplitz Operators with BMO Symbols of Several Complex Variables  

作　　者：Zhong Hua HE Guang Fu CAO 

机构地区：[1]School of Mathematics and Information Sciences,Guangzhou University

出　　处：《Acta Mathematica Sinica,English Series》2012年第3期599-608,共10页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10971040);Research Foundation for Doctorial Program of Higher Education

摘　　要：In this note we prove that the boundedness and compactness of the Toeplitz operator on the Bergman space L2a （Bn） for several complex variables with a BMO1 symbol is completely determined by the boundary behavior of its Berezin transform.In this note we prove that the boundedness and compactness of the Toeplitz operator on the Bergman space L2a （Bn） for several complex variables with a BMO1 symbol is completely determined by the boundary behavior of its Berezin transform.

关 键 词：Toeplitz operator Bergman space Berezin transform 

分 类 号：O177[理学—数学]