Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball

Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball

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In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of we...

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Main Authors: A. E. Shammaky, M. A. Bakhit
Format: Article
Language:English
Published: Etamaths Publishing 2016-10-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/786
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spelling doaj-592b8d0619fb4781a22a566d4b90f84b2020-11-25T01:35:07ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-10-011228797198Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit BallA. E. Shammaky0M. A. Bakhit1Department of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jazan university, Jazan, Saudi ArabiaIn this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.http://www.etamaths.com/index.php/ijaa/article/view/786
collection DOAJ
language English
format Article
sources DOAJ
author A. E. Shammaky
M. A. Bakhit
spellingShingle A. E. Shammaky
M. A. Bakhit
Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
International Journal of Analysis and Applications
author_facet A. E. Shammaky
M. A. Bakhit
author_sort A. E. Shammaky
title Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
title_short Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
title_full Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
title_fullStr Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
title_full_unstemmed Properties of Weighted Composition Operators on Some Weighted Holomorphic Function Classes in the Unit Ball
title_sort properties of weighted composition operators on some weighted holomorphic function classes in the unit ball
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2016-10-01
description In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.
url http://www.etamaths.com/index.php/ijaa/article/view/786
work_keys_str_mv AT aeshammaky propertiesofweightedcompositionoperatorsonsomeweightedholomorphicfunctionclassesintheunitball
AT mabakhit propertiesofweightedcompositionoperatorsonsomeweightedholomorphicfunctionclassesintheunitball
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