Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball

Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball

The essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂn into the little weighted-type space is calculated. Some applications of the formula are given.

Bibliographic Details
Main Authors: Pablo Galindo, Mikael Lindström, Stevo Stević
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/939873
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spelling doaj-711d1e5ecec14a03b468510cfad9cf802020-11-24T23:06:23ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/939873939873Essential Norm of Operators into Weighted-Type Spaces on the Unit BallPablo Galindo0Mikael Lindström1Stevo Stević2Departamento de Análisis Matemático, Universidad de Valencia, 46.100 Burjasot, Valencia, SpainDepartment of Mathematical Sciences, University of Oulu, 90014 Oulu, FinlandMathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaThe essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂn into the little weighted-type space is calculated. Some applications of the formula are given.http://dx.doi.org/10.1155/2011/939873
collection DOAJ
language English
format Article
sources DOAJ
author Pablo Galindo
Mikael Lindström
Stevo Stević
spellingShingle Pablo Galindo
Mikael Lindström
Stevo Stević
Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
Abstract and Applied Analysis
author_facet Pablo Galindo
Mikael Lindström
Stevo Stević
author_sort Pablo Galindo
title Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
title_short Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
title_full Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
title_fullStr Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
title_full_unstemmed Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball
title_sort essential norm of operators into weighted-type spaces on the unit ball
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description The essential norm of any operator from a general Banach space of holomorphic functions on the unit ball in ℂn into the little weighted-type space is calculated. Some applications of the formula are given.
url http://dx.doi.org/10.1155/2011/939873
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AT mikaellindstrom essentialnormofoperatorsintoweightedtypespacesontheunitball
AT stevostevic essentialnormofoperatorsintoweightedtypespacesontheunitball
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