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

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

71 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	9-20
Sivumäärä	12
Julkaisu	Journal of the Australian Mathematical Society
Vuosikerta	84
Numero	1
DOI - pysyväislinkit	https://doi.org/10.1017/S144678870800013X
Tila	Julkaistu - helmik. 2008
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Rahoitus

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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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",

year = "2008",

month = feb,

doi = "10.1017/S144678870800013X",

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T1 - Differences of composition operators between weighted banach spaces of holomorphic functions

AU - Bonet, José

AU - Lindström, Mikael

AU - Wolf, Elke

N1 - Funding Information: 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

PY - 2008/2

Y1 - 2008/2

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

UR - https://www.scopus.com/pages/publications/48349137329

U2 - 10.1017/S144678870800013X

DO - 10.1017/S144678870800013X

M3 - Article

AN - SCOPUS:48349137329

SN - 1446-7887

VL - 84

SP - 9

EP - 20

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 1

ER -

Differences of composition operators between weighted banach spaces of holomorphic functions

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