Essential norm of the difference of weighted composition operators

Mikael Lindström; Elke Wolf

doi:10.1007/s00605-007-0493-1

Essential norm of the difference of weighted composition operators

Mikael Lindström^*, Elke Wolf

^*Tämän työn vastaava kirjoittaja

Mathematics

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

70 Sitaatiot (Scopus)

Abstrakti

We study differences of weighted composition operators between weighted Banach spaces H _ν ^∞ of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.

Alkuperäiskieli	Englanti
Sivut	133-143
Sivumäärä	11
Julkaisu	Monatshefte fur Mathematik
Vuosikerta	153
Numero	2
DOI - pysyväislinkit	https://doi.org/10.1007/s00605-007-0493-1
Tila	Julkaistu - helmik. 2008
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1007/s00605-007-0493-1

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title = "Essential norm of the difference of weighted composition operators",

abstract = "We study differences of weighted composition operators between weighted Banach spaces H ν ∞ of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.",

keywords = "Differences of weighted composition operators, Essential norm, Weighted Banach spaces of holomorphic functions",

author = "Mikael Lindstr{\"o}m and Elke Wolf",

year = "2008",

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T1 - Essential norm of the difference of weighted composition operators

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AU - Wolf, Elke

PY - 2008/2

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N2 - We study differences of weighted composition operators between weighted Banach spaces H ν ∞ of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.

AB - We study differences of weighted composition operators between weighted Banach spaces H ν ∞ of analytic functions with weighted sup-norms and give an expression for the essential norm of these differences. We apply our result to estimate the essential norm of differences of composition operators acting on Bloch-type spaces.

KW - Differences of weighted composition operators

KW - Essential norm

KW - Weighted Banach spaces of holomorphic functions

UR - http://www.scopus.com/inward/record.url?scp=38749085302&partnerID=8YFLogxK

U2 - 10.1007/s00605-007-0493-1

DO - 10.1007/s00605-007-0493-1

M3 - Article

AN - SCOPUS:38749085302

SN - 0026-9255

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JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 2

ER -

Essential norm of the difference of weighted composition operators

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