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

作　　者：Kan ZHANG Chao Mei LIU Yu Feng LU 

机构地区：[1]School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, P. R. China [2]College of Sciences, Shenyang Agricultural University, Shenyang 110161, P. R. China [3]School of Science, Dalian Jiaotong University, Dalian 116028, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第11期2129-2142,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant Nos. 10671028, 10971020）

摘　　要：In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space Aα2（Bn） of the unit ball is completely determined by the behavior of its Berezin transform, where ≥ -1 and n 〉 1.In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMOα1 symbol on the weighted Bergman space Aα2（Bn） of the unit ball is completely determined by the behavior of its Berezin transform, where ≥ -1 and n 〉 1.

关 键 词：Toeplitz operator BMO Berezin transform 

分 类 号：O177.1[理学—数学] O177.3[理学—基础数学]