Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces and variable Herz spaces.

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Main Authors: Hammad Nafis, Humberto Rafeiro, Muhammad Asad Zaighum
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/4845507
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author Hammad Nafis
Humberto Rafeiro
Muhammad Asad Zaighum
author_facet Hammad Nafis
Humberto Rafeiro
Muhammad Asad Zaighum
author_sort Hammad Nafis
collection DOAJ
description In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces and variable Herz spaces.
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institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-747301e9a33d40e5a9eadff442b3eed52025-02-03T01:23:14ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4845507Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz SpacesHammad Nafis0Humberto Rafeiro1Muhammad Asad Zaighum2Department of Mathematics and StatisticsUnited Arab Emirates UniversityDepartment of Mathematics and StatisticsIn this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces and variable Herz spaces.http://dx.doi.org/10.1155/2022/4845507
spellingShingle Hammad Nafis
Humberto Rafeiro
Muhammad Asad Zaighum
Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
Journal of Function Spaces
title Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
title_full Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
title_fullStr Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
title_full_unstemmed Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
title_short Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
title_sort boundedness of multilinear calderon zygmund operators on grand variable herz spaces
url http://dx.doi.org/10.1155/2022/4845507
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AT humbertorafeiro boundednessofmultilinearcalderonzygmundoperatorsongrandvariableherzspaces
AT muhammadasadzaighum boundednessofmultilinearcalderonzygmundoperatorsongrandvariableherzspaces