Abstract and Applied Analysis

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

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 608578, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512129

Digital Object Identifier
doi:10.1155/2013/608578

Mathematical Reviews number (MathSciNet)
MR3126803

Zentralblatt MATH identifier
07095160

Citation

Chen, Cui; Chen, Ren-Yu; Zhou, Ze-Hua. Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions. Abstr. Appl. Anal. 2013 (2013), Article ID 608578, 7 pages. doi:10.1155/2013/608578. https://projecteuclid.org/euclid.aaa/1393512129


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