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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

71 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	9-20
Antal sidor	12
Tidskrift	Journal of the Australian Mathematical Society
Volym	84
Nummer	1
DOI	https://doi.org/10.1017/S144678870800013X
Status	Publicerad - feb. 2008
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Finansiering

The research of J. Bonet was partially supported by MEC and FEDER project MTM2004-02262. work of M. Lindström was partially supported by the Academy of Finland Project 205644. ©c 2008 Australian Mathematical Society 1446-7887/08 $A2.00 + 0.00

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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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AU - Lindström, Mikael

AU - Wolf, Elke

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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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