On a Generalization of (Lω1, Lωp)-Multipliers

This paper deals with a generalized aspect of multipliers for the pair (Lω1, Lωp) of Beurling spaces. Using the Fourier transform related to a Beurling weight, we give a characterization of the aforementioned multipliers. We also prove the identification of the space of the multipliers for the pair...

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Main Authors: Yaovi A. Tissinam, Abudulaï Issa, Yaogan Mensah
Format: Article
Language:English
Published: Ada Academica 2023-10-01
Series:European Journal of Mathematical Analysis
Online Access:https://adac.ee/index.php/ma/article/view/182
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author Yaovi A. Tissinam
Abudulaï Issa
Yaogan Mensah
author_facet Yaovi A. Tissinam
Abudulaï Issa
Yaogan Mensah
author_sort Yaovi A. Tissinam
collection DOAJ
description This paper deals with a generalized aspect of multipliers for the pair (Lω1, Lωp) of Beurling spaces. Using the Fourier transform related to a Beurling weight, we give a characterization of the aforementioned multipliers. We also prove the identification of the space of the multipliers for the pair (Lω1, Lωp) with the Beurling space Lωp when 1< p<∞.
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spelling doaj.art-4fa6e5b3676c4fc8880a202c5927f4542023-12-17T08:35:04ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572023-10-013272710.28924/ada/ma.3.27182On a Generalization of (Lω1, Lωp)-MultipliersYaovi A. Tissinam0Abudulaï Issa1Yaogan Mensah2Department of Mathematics, University of Lomé, TogoDepartment of Mathematics, University of Lomé, TogoDepartment of Mathematics, University of Lomé, TogoThis paper deals with a generalized aspect of multipliers for the pair (Lω1, Lωp) of Beurling spaces. Using the Fourier transform related to a Beurling weight, we give a characterization of the aforementioned multipliers. We also prove the identification of the space of the multipliers for the pair (Lω1, Lωp) with the Beurling space Lωp when 1< p<∞.https://adac.ee/index.php/ma/article/view/182
spellingShingle Yaovi A. Tissinam
Abudulaï Issa
Yaogan Mensah
On a Generalization of (Lω1, Lωp)-Multipliers
European Journal of Mathematical Analysis
title On a Generalization of (Lω1, Lωp)-Multipliers
title_full On a Generalization of (Lω1, Lωp)-Multipliers
title_fullStr On a Generalization of (Lω1, Lωp)-Multipliers
title_full_unstemmed On a Generalization of (Lω1, Lωp)-Multipliers
title_short On a Generalization of (Lω1, Lωp)-Multipliers
title_sort on a generalization of lω1 lωp multipliers
url https://adac.ee/index.php/ma/article/view/182
work_keys_str_mv AT yaoviatissinam onageneralizationoflō1lōpmultipliers
AT abudulaiissa onageneralizationoflō1lōpmultipliers
AT yaoganmensah onageneralizationoflō1lōpmultipliers