HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

doi:10.1016/S0252-9602(17)30101-7

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1695-1704.doi: 10.1016/S0252-9602(17)30101-7

HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

Jongrak LEE

Institute of Mathematical Sciences, Ewha Womans University, Seoul 120-750, Republic of Korea

收稿日期:2016-07-18 修回日期:2017-04-19 出版日期:2017-12-25 发布日期:2017-12-25
作者简介:Jongrak LEE,jrlee0124@ewha.ac.kr
基金资助:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827).

HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

Jongrak LEE

Institute of Mathematical Sciences, Ewha Womans University, Seoul 120-750, Republic of Korea

Received:2016-07-18 Revised:2017-04-19 Online:2017-12-25 Published:2017-12-25
Supported by:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827).

摘要/Abstract

摘要：

In this paper we consider the block Toeplitz operators T_Φ on the weighted Bergman space A_α²(D, Cⁿ) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ=F + G^* with matrix-valued polynomial functions F and G with degree 2.

关键词: block Toeplitz operators, hyponormal, weighted Bergman space

Abstract:

Key words: block Toeplitz operators, hyponormal, weighted Bergman space

Jongrak LEE. HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES[J]. 数学物理学报(英文版), 2017, 37(6): 1695-1704.

Jongrak LEE. HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES[J]. Acta mathematica scientia,Series B, 2017, 37(6): 1695-1704.

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[2]	陈志华, 江良美, 颜启明. AN UPPER BOUND OF THE ESSENTIAL NORM OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES[J]. 数学物理学报(英文版), 2014, 34(4): 1145-1156.
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HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

HYPONORMALITY OF BLOCK TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACES

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