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Start Over Author "ZE-HUA ZHOU" Journal abstract and applied analysis
5 results on '"ZE-HUA ZHOU"'

1. Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions

Author

Cui Chen, Ren-Yu Chen, and Ze-Hua Zhou

Subjects
Mathematics, QA1-939
Abstract

We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained.

Published
2013
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4. Product of Extended Cesàro Operator and Composition Operator from Lipschitz Space toF(p,q,s)Space on the Unit Ball

Author

Ze-Hua Zhou and Yu-Xia Liang

Subjects
Pseudo-monotone operator, Multiplication operator, Lipschitz domain, Applied Mathematics, Mathematical analysis, Compact operator, Shift operator, Operator space, Ornstein–Uhlenbeck operator, Analysis, Strictly singular operator, Mathematics
Abstract

This paper characterizes the boundedness and compactness of the product of extended Cesàro operator and composition operator from Lipschitz space toF(p,q,s)space on the unit ball ofℂn.

Published
2011

5. Differences of Composition Operators on the Space of Bounded Analytic Functions in the Polydisc

Author

Ze-Hua Zhou and Zhong-Shan Fang

Subjects
Mathematics::Functional Analysis, Article Subject, Mathematics::Complex Variables, lcsh:Mathematics, Applied Mathematics, Mathematical analysis, Holomorphic function, Polydisc, lcsh:QA1-939, Norm (mathematics), Bounded function, Operator norm, Analysis, Mathematics, Analytic function
Abstract

This paper gives some estimates of the essential norm for the difference of composition operators induced byφandψacting on the space,H∞(Dn), of bounded analytic functions on the unit polydiscDn, whereφandψare holomorphic self-maps ofDn. As a consequence, one obtains conditions in terms of the Carathéodory distance onDnthat characterizes those pairs of holomorphic self-maps of the polydisc for which the difference of two composition operators onH∞(Dn)is compact.

Published
2008

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