Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Ce-Zhong Tong; Cheng Yuan; Ze-Hua Zhou

doi:10.1155/2015/672385

Journal of Function Spaces (Jan 2015)

Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Ce-Zhong Tong,
Cheng Yuan,
Ze-Hua Zhou

Affiliations

Ce-Zhong Tong: Department of Mathematics, Hebei University of Technology, Tianjin 300401, China
Cheng Yuan: Institute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin 300222, China
Ze-Hua Zhou: Department of Mathematics, Tianjin University, Tianjin 300072, China

DOI: https://doi.org/10.1155/2015/672385
Journal volume & issue: Vol. 2015

Abstract

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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.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

About the journal