Composition Operators on Some Banach Spaces of Harmonic Mappings

We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.

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Main Authors: Munirah Aljuaid, Flavia Colonna
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/9034387
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author Munirah Aljuaid
Flavia Colonna
author_facet Munirah Aljuaid
Flavia Colonna
author_sort Munirah Aljuaid
collection DOAJ
description We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-3fe44d99d9e64836b27d818f99fa33722025-02-03T05:54:26ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/90343879034387Composition Operators on Some Banach Spaces of Harmonic MappingsMunirah Aljuaid0Flavia Colonna1Department of Mathematics, Northern Borders University, Arar 73222, Saudi ArabiaDepartment of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USAWe study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.http://dx.doi.org/10.1155/2020/9034387
spellingShingle Munirah Aljuaid
Flavia Colonna
Composition Operators on Some Banach Spaces of Harmonic Mappings
Journal of Function Spaces
title Composition Operators on Some Banach Spaces of Harmonic Mappings
title_full Composition Operators on Some Banach Spaces of Harmonic Mappings
title_fullStr Composition Operators on Some Banach Spaces of Harmonic Mappings
title_full_unstemmed Composition Operators on Some Banach Spaces of Harmonic Mappings
title_short Composition Operators on Some Banach Spaces of Harmonic Mappings
title_sort composition operators on some banach spaces of harmonic mappings
url http://dx.doi.org/10.1155/2020/9034387
work_keys_str_mv AT munirahaljuaid compositionoperatorsonsomebanachspacesofharmonicmappings
AT flaviacolonna compositionoperatorsonsomebanachspacesofharmonicmappings