Bloch-type空间到Zygmund-type空间的微分复合算子

J4 ›› 2013, Vol. 48 ›› Issue (4): 51-56.

Bloch-type空间到Zygmund-type空间的微分复合算子

蒋晓宇

天津大学理学院, 天津 300072

收稿日期:2012-07-20 出版日期:2013-04-20 发布日期:2013-04-16
作者简介:蒋晓宇(1989- ),女,硕士研究生,研究方向为多复变函数和算子理论及其应用.Email:xiaoyujiang1989@126.com
基金资助:
国家自然科学基金资助项目(10971153;10671141)

Composition followed by differentiation from Bloch-type into Zygmund-type space

JIANG Xiao-yu

School of Science, Tianjin University, Tianjin 300072, China

Received:2012-07-20 Online:2013-04-20 Published:2013-04-16

摘要/Abstract

摘要：

利用泛函分析多复变的方法,讨论了单位圆盘上Bloch-type空间Bα和Zygmund-type空间Zμ的微分复合算子C-D的有界性和紧性问题,给出了C-D从Bα到Zμ是有界算子或紧算子的充要条件。

关键词: Bloch-type空间; Zygmund-type空间; 有界性; 紧性

Abstract:

The composition followed by differentiation C-D is characterized between the Bloch-type space Bα and the Zygmund-type space Zμ on the unit disk. By the methods of functional analysis and several complex variables, some necessary and sufficient conditions are given for C-D to be a bounded operator or a compact operator from Bα to Zμ.

Key words: Bloch-type space; Zygmund-type space; boundedness; compactness

蒋晓宇. Bloch-type空间到Zygmund-type空间的微分复合算子[J]. J4, 2013, 48(4): 51-56.

JIANG Xiao-yu. Composition followed by differentiation from Bloch-type into Zygmund-type space[J]. J4, 2013, 48(4): 51-56.

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