|
|||||
|
|
Toeplitz operators with BMO symbols on the weighted Bergman space of the unit ball |
|
| Authors: | Kan Zhang Chao Mei Liu Yu Feng Lu |
| Institution: | [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 |
| Abstract: | In this paper we prove that the boundedness and compactness of Toeplitz operator with a BMO α 1 symbol on the weighted Bergman space A α 2(B n ) of the unit ball is completely determined by the behavior of its Berezin transform, where α > −1 and n ≥ 1. |
| Keywords: | Toeplitz operator BMO Berezin transform |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |