Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces

The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators. We investigate the interaction between the kern...

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Main Authors: Saba Mehmood, null Eridani, null Fatmawati, Wasim Raza
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2023/3148049
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author Saba Mehmood
null Eridani
null Fatmawati
Wasim Raza
author_facet Saba Mehmood
null Eridani
null Fatmawati
Wasim Raza
author_sort Saba Mehmood
collection DOAJ
description The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators. We investigate the interaction between the kernel and space parameters to get the results and see how this affects kernel-bound operators.
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institution Kabale University
issn 1687-9651
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-d6f789fd3afd46ebac2c2b66bf407b8d2025-08-20T03:24:40ZengWileyInternational Journal of Differential Equations1687-96512023-01-01202310.1155/2023/3148049Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric SpacesSaba Mehmood0null Eridani1null Fatmawati2Wasim Raza3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators. We investigate the interaction between the kernel and space parameters to get the results and see how this affects kernel-bound operators.http://dx.doi.org/10.1155/2023/3148049
spellingShingle Saba Mehmood
null Eridani
null Fatmawati
Wasim Raza
Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
International Journal of Differential Equations
title Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
title_full Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
title_fullStr Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
title_full_unstemmed Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
title_short Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
title_sort bessel riesz operators on lebesgue spaces and morrey spaces defined in measure metric spaces
url http://dx.doi.org/10.1155/2023/3148049
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AT nulleridani besselrieszoperatorsonlebesguespacesandmorreyspacesdefinedinmeasuremetricspaces
AT nullfatmawati besselrieszoperatorsonlebesguespacesandmorreyspacesdefinedinmeasuremetricspaces
AT wasimraza besselrieszoperatorsonlebesguespacesandmorreyspacesdefinedinmeasuremetricspaces