广义Besov空间到Zygmund空间的广义Cesàro算子与复合算子的积

数学季刊 ›› 2012, Vol. 27 ›› Issue (2): 204-212.

广义Besov空间到Zygmund空间的广义Cesàro算子与复合算子的积

Jinxiu Middle School

收稿日期:2010-06-01 出版日期:2012-06-30 发布日期:2023-03-29
作者简介:OUYANG Xiao-rong(1983-), male, native of Yongxin, Jiangxi, engages in complex variables and operator theory.
基金资助:
Supported by the National Natural Science Foundation of China(10771064)； Supported by the Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219)； Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)

Products of Extended Ces`aro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces

Jinxiu Middle School

Received:2010-06-01 Online:2012-06-30 Published:2023-03-29
About author:OUYANG Xiao-rong(1983-), male, native of Yongxin, Jiangxi, engages in complex variables and operator theory.
Supported by:
Supported by the National Natural Science Foundation of China(10771064)； Supported by the Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219)； Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)

摘要/Abstract

摘要： We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator T_gC_φ from generalized Besov spaces to Zygmund spaces, where g is a given holomorphic function in the unit disk D, φ is an analytic self-map of D and T_gC_φ is defined by T_gC_φf(z) = f(φ(t))g’(t)dt from t=0 to z.

关键词: extended Cesaro operator, composition operator, generalized Besov space; Zygmund space

Abstract: We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator T_gC_φ from generalized Besov spaces to Zygmund spaces, where g is a given holomorphic function in the unit disk D, φ is an analytic self-map of D and T_gC_φis defined by T_gC_φf(z) = f(φ(t))g’(t)dt from t=0 to z.

Key words: extended Cesaro operator, composition operator, generalized Besov space; Zygmund space

中图分类号:

O174.56

欧阳小荣. 广义Besov空间到Zygmund空间的广义Cesàro算子与复合算子的积[J]. 数学季刊, 2012, 27(2): 204-212.

OUYANG Xiao-rong. Products of Extended Ces`aro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 204-212.

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