[1]杨向东.单位球上加权Banach空间中的Toeplitz算子(英文)[J].江西师范大学学报(自然科学版),2014,(06):557-560.
 YANG Xiang-dong.The Toeplitz Operators on the Weighted Banach Space of the Unit Ball[J].,2014,(06):557-560.
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单位球上加权Banach空间中的Toeplitz算子(英文)()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年06期
页码:
557-560
栏目:
出版日期:
2014-12-31

文章信息/Info

Title:
The Toeplitz Operators on the Weighted Banach Space of the Unit Ball
作者:
杨向东
昆明理工大学数学系,云南 昆明,650093
Author(s):
YANG Xiang-dong
关键词:
Toeplitz算子加权Banach空间连续性紧致性
Keywords:
Toeplitz operatorsweighted Banach spacescontinuitycompactness
分类号:
O174.5
文献标志码:
A
摘要:
应用Berezin变换的方法对单位球上加权Banach空间中的 Toeplitz算子进行刻画,对正函数的情形,将现有的单位圆的相关结论推广至单位球,得到Toeplitz算子连续的充分必要条件,并给出Toeplitz算子为紧算子的充分条件。
Abstract:
In the case of positive symbols,the continuity and compactness of a Toeplitz operator are character-ized. The Toeplitz operator under investigation acts upon the weighted Banach space H∞U which consists of analytic functions on the unit ball of Cn . Our characterizations are in terms of the Berezin transform.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11261024)
更新日期/Last Update: 1900-01-01