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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Ada Academica
2023-10-01
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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<∞. |
first_indexed | 2024-03-08T22:43:12Z |
format | Article |
id | doaj.art-4fa6e5b3676c4fc8880a202c5927f454 |
institution | Directory Open Access Journal |
issn | 2733-3957 |
language | English |
last_indexed | 2024-03-08T22:43:12Z |
publishDate | 2023-10-01 |
publisher | Ada Academica |
record_format | Article |
series | European Journal of Mathematical Analysis |
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 |