Topological Structures of Derivative Weighted Composition Operators on the Bergman Space-Reference-Cited by-同舟云学术

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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Tong Ce-Zhong¹,Yuan Cheng²,Zhou Ze-Hua³⁴

Affiliation:

1. Department of Mathematics, Hebei University of Technology, Tianjin 300401, China

2. Institute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin 300222, China

3. Department of Mathematics, Tianjin University, Tianjin 300072, China

4. Center for Applied Mathematics, Tianjin University, Tianjin 300072, China

Abstract

We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space under the operator norm topology.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2015/672385.pdf

Reference22 articles.

1. Studies in Advanced Mathematics,1995

2. Composition Operators and Classical Function Theory

3. Graduate Texts in Mathematics,2005

4. WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

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