积分算子与复合算子的本性交换性

J4 ›› 2012, Vol. 47 ›› Issue (4): 77-79.

积分算子与复合算子的本性交换性

张亮,曾红刚*

天津大学理学院, 天津 300072

收稿日期:2011-05-01 出版日期:2012-04-20 发布日期:2012-06-28
通讯作者: 曾红刚(1979- ),男，博士研究生，讲师，研究方向为多复变函数和算子理论及其应用.Email:zhgng@tju.edu.cn
作者简介:张亮(1983- ),男,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: 168zhangliang2011@163.com
基金资助:
国家自然科学基金资助项目(10971153,10671141)

Essential commutativity of composition operator and integral operator

ZHANG Liang, ZENG Hong-gang*

Institute of Sciences,Tianjin University, Tianjin 300072, China

Received:2011-05-01 Online:2012-04-20 Published:2012-06-28

摘要/Abstract

摘要：

Essential commutativity of the operators is the important component part in operator fields. Generally, multiplication between operators is not essential commutative for the integral operators and composition operators between different spaces. Sufficient and necessary conditions of essential commutativity of integral operators and composition operators from F(p, q, s) space to weighted Bloch space are given.

关键词: essential commutativity; F(p, q, s) space; weighted Bloch space

Abstract:

Key words: essential commutativity; F(p, q, s) space; weighted Bloch space

张亮,曾红刚*. 积分算子与复合算子的本性交换性[J]. J4, 2012, 47(4): 77-79.

ZHANG Liang, ZENG Hong-gang*. Essential commutativity of composition operator and integral operator[J]. J4, 2012, 47(4): 77-79.