Differences of composition operators between weighted banach spaces of holomorphic functions

José Bonet; Mikael Lindström; Elke Wolf

doi:10.1017/S144678870800013X

Differences of composition operators between weighted banach spaces of holomorphic functions

José Bonet^*, Mikael Lindström, Elke Wolf

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

70 Citations (Scopus)

Abstract

We consider differences of composition operators between given weighted Banach spaces H∞^v or H⁰_v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.

Original language	English
Pages (from-to)	9-20
Number of pages	12
Journal	Journal of the Australian Mathematical Society
Volume	84
Issue number	1
DOIs	https://doi.org/10.1017/S144678870800013X
Publication status	Published - Feb 2008
MoE publication type	A1 Journal article-refereed

Keywords

Compact operators
Composition operators
Essential norm
Weighted Banach spaces of holomorphic functions

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10.1017/S144678870800013X

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abstract = "We consider differences of composition operators between given weighted Banach spaces H∞v or H0v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.",

keywords = "Compact operators, Composition operators, Essential norm, Weighted Banach spaces of holomorphic functions",

author = "Jos{\'e} Bonet and Mikael Lindstr{\"o}m and Elke Wolf",

note = "Funding Information: The research of J. Bonet was partially supported by MEC and FEDER project MTM2004-02262. work of M. Lindstr{\"o}m was partially supported by the Academy of Finland Project 205644. {\textcopyright}c 2008 Australian Mathematical Society 1446-7887/08 $A2.00 + 0.00",

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N2 - We consider differences of composition operators between given weighted Banach spaces H∞v or H0v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.

AB - We consider differences of composition operators between given weighted Banach spaces H∞v or H0v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.

KW - Compact operators

KW - Composition operators

KW - Essential norm

KW - Weighted Banach spaces of holomorphic functions

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Differences of composition operators between weighted banach spaces of holomorphic functions

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Keywords

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