α-Bloch空间到H∞的加权复合算子

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 370-376.

α-Bloch空间到H^∞的加权复合算子

Department of Mathematics Huzhou Teacher’s College Huzhou 313000,China

收稿日期:2005-01-14 出版日期:2007-09-30 发布日期:2023-10-26
作者简介: TANG Xiao-min(1976-), male, native of Tongxiang, Zhejiang, a lecturer of Huzhou Teacher's, Callege, M.S.D., engages in complex variables and operator theory.
基金资助:
Supported by the National Natural Science Foundation of China(10471039); Supported by the Natural Science Foundation of Zhejiang Province(Y606197); Supported by the Natural Science Foundation of Huzhou City(2005YZ02)

Weighted Composition Operators from a-Bloch Spaces to H^∞

Department of Mathematics Huzhou Teacher’s College Huzhou 313000,China

Received:2005-01-14 Online:2007-09-30 Published:2023-10-26
About author: TANG Xiao-min(1976-), male, native of Tongxiang, Zhejiang, a lecturer of Huzhou Teacher's, Callege, M.S.D., engages in complex variables and operator theory.
Supported by:
Supported by the National Natural Science Foundation of China(10471039); Supported by the Natural Science Foundation of Zhejiang Province(Y606197); Supported by the Natural Science Foundation of Huzhou City(2005YZ02)

摘要/Abstract

摘要： The article not only presents the boundedness and compactness of the weighted composition operator fromα-Bloch spaces(or littleα-Bloch spaces) to H^∞,but also gives some estimates for the norm of the weighted composition operator.

关键词: weighted composition operator, weighted composition operator, a-Bloch space, a-Bloch space, little a-Bloch space, H^∞, little a-Bloch space, H^∞

Abstract: The article not only presents the boundedness and compactness of the weighted composition operator fromα-Bloch spaces(or littleα-Bloch spaces) to H^∞,but also gives some estimates for the norm of the weighted composition operator.

Key words: weighted composition operator, a-Bloch space, little a-Bloch space, weighted composition operator, H^∞, a-Bloch space, little a-Bloch space, H^∞

中图分类号:

O174.5

唐笑敏. α-Bloch空间到H^∞的加权复合算子[J]. 数学季刊, 2007, 22(3): 370-376.

TANG Xiao-min. Weighted Composition Operators from a-Bloch Spaces to H^∞[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 370-376.

[1]	郭继东, 刘品, 高文华等. 加权复合算子在Bloch型空间上的有界性[J]. 数学季刊, 2008, 23(3): 356-359.
[2]	徐辉明, 刘太顺. 单位球上Hardy空间之间的加权复合算子[J]. 数学季刊, 2004, 19(2): 111-119.