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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 608578, 7 pages
http://dx.doi.org/10.1155/2013/608578
Research Article

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

Department of Mathematics, Tianjin University, Tianjin 300072, China

Received 25 May 2013; Accepted 2 October 2013

Academic Editor: Aref Jeribi

Copyright © 2013 Cui Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.