加权Bergman空间里加权复合算子的紧差分

J4 ›› 2012, Vol. 47 ›› Issue (12): 78-81.

加权Bergman空间里加权复合算子的紧差分

张国强

天津大学理学院, 天津 300072

收稿日期:2012-02-28 出版日期:2012-12-20 发布日期:2012-12-14
作者简介:张国强（1987- ），男，硕士研究生，研究方向为函数空间与算子理论.Email:zgq661125@126.com
基金资助:
国家自然科学基金资助项目（10971153，10671141）

Compact differences of weighted composition operators between weighted Bergman spaces

ZHANG Guo-qiang

School of Science, Tianjin University, Tianjin 300072, China

Received:2012-02-28 Online:2012-12-20 Published:2012-12-14

摘要/Abstract

摘要：

描述了加权Bergman空间里由解析函数,ψ及u,v诱导的加权复合算子的紧差分。给出了该空间里差分的紧性和本性范数的充分条件。

关键词: 加权复合算子;加权Bergman空间;紧性;本性范数

Abstract:

he compactness of differences of weighted composition operators between weighted Bergman spaces of analytic functions on the open unit disk D in terms of inducing symbols ,ψ:D→D and u,v:D→C are characterized. Finally, a sufficient condition for compactness and essential norm of the difference operator between weighted Bergman spaces is given.

Key words: weighted composition operator; weighted bergman space; compactness; essential norm

张国强. 加权Bergman空间里加权复合算子的紧差分[J]. J4, 2012, 47(12): 78-81.

ZHANG Guo-qiang. Compact differences of weighted composition operators between weighted Bergman spaces[J]. J4, 2012, 47(12): 78-81.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed