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.
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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/939873 |
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author | Pablo Galindo Mikael Lindström Stevo Stević |
author_facet | Pablo Galindo Mikael Lindström Stevo Stević |
author_sort | Pablo Galindo |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-711d1e5ecec14a03b468510cfad9cf80 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-711d1e5ecec14a03b468510cfad9cf802025-02-03T06:06:26ZengWileyAbstract 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 |
spellingShingle | Pablo Galindo Mikael Lindström Stevo Stević Essential Norm of Operators into Weighted-Type Spaces on the Unit Ball Abstract and Applied Analysis |
title | 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_short | 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 |
url | http://dx.doi.org/10.1155/2011/939873 |
work_keys_str_mv | AT pablogalindo essentialnormofoperatorsintoweightedtypespacesontheunitball AT mikaellindstrom essentialnormofoperatorsintoweightedtypespacesontheunitball AT stevostevic essentialnormofoperatorsintoweightedtypespacesontheunitball |