Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent

In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.

Bibliographic Details
Main Authors: Babar Sultan, Mehvish Sultan, Mazhar Mehmood, Fatima Azmi, Maryam Ali Alghafli, Nabil Mlaiki
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023036?viewType=HTML
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author Babar Sultan
Mehvish Sultan
Mazhar Mehmood
Fatima Azmi
Maryam Ali Alghafli
Nabil Mlaiki
author_facet Babar Sultan
Mehvish Sultan
Mazhar Mehmood
Fatima Azmi
Maryam Ali Alghafli
Nabil Mlaiki
author_sort Babar Sultan
collection DOAJ
description In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
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issn 2473-6988
language English
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spelling doaj.art-ad2c078860854a1488791e7a436176a12022-12-22T03:34:51ZengAIMS PressAIMS Mathematics2473-69882023-01-018175276410.3934/math.2023036Boundedness of fractional integrals on grand weighted Herz spaces with variable exponentBabar Sultan 0Mehvish Sultan1Mazhar Mehmood 2Fatima Azmi3Maryam Ali Alghafli 4Nabil Mlaiki51. Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan2. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan3. Department of Mathematics, Government Post Graduate College Haripur 22620, KPK, Pakistan4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.https://www.aimspress.com/article/doi/10.3934/math.2023036?viewType=HTMLfractional integralsgrand herz spacesweighted herz spacesgrand weighted herz spaces
spellingShingle Babar Sultan
Mehvish Sultan
Mazhar Mehmood
Fatima Azmi
Maryam Ali Alghafli
Nabil Mlaiki
Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
AIMS Mathematics
fractional integrals
grand herz spaces
weighted herz spaces
grand weighted herz spaces
title Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
title_full Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
title_fullStr Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
title_full_unstemmed Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
title_short Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
title_sort boundedness of fractional integrals on grand weighted herz spaces with variable exponent
topic fractional integrals
grand herz spaces
weighted herz spaces
grand weighted herz spaces
url https://www.aimspress.com/article/doi/10.3934/math.2023036?viewType=HTML
work_keys_str_mv AT babarsultan boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent
AT mehvishsultan boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent
AT mazharmehmood boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent
AT fatimaazmi boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent
AT maryamalialghafli boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent
AT nabilmlaiki boundednessoffractionalintegralsongrandweightedherzspaceswithvariableexponent