Variable Herz–Morrey estimates for rough fractional Hausdorff operator
Abstract As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03110-8 |
| _version_ | 1797258965645524992 |
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| author | Amjad Hussain Ilyas Khan Abdullah Mohamed |
| author_facet | Amjad Hussain Ilyas Khan Abdullah Mohamed |
| author_sort | Amjad Hussain |
| collection | DOAJ |
| description | Abstract As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents. |
| first_indexed | 2024-04-24T23:01:55Z |
| format | Article |
| id | doaj.art-c25acc0111e441cea4a10c439c9eaee8 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T23:01:55Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c25acc0111e441cea4a10c439c9eaee82024-03-17T12:41:51ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-03-012024111410.1186/s13660-024-03110-8Variable Herz–Morrey estimates for rough fractional Hausdorff operatorAmjad Hussain0Ilyas Khan1Abdullah Mohamed2Department of Mathematics, Quaid-I-Azam University 45320Department of Mathematics, College of Science Al-Zulfi, Majmaah UniversityResearch Centre, Future University in EgyptAbstract As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.https://doi.org/10.1186/s13660-024-03110-8Hausdorff operatorRough kernelBoundednessVariable exponentHerz-type spaces |
| spellingShingle | Amjad Hussain Ilyas Khan Abdullah Mohamed Variable Herz–Morrey estimates for rough fractional Hausdorff operator Journal of Inequalities and Applications Hausdorff operator Rough kernel Boundedness Variable exponent Herz-type spaces |
| title | Variable Herz–Morrey estimates for rough fractional Hausdorff operator |
| title_full | Variable Herz–Morrey estimates for rough fractional Hausdorff operator |
| title_fullStr | Variable Herz–Morrey estimates for rough fractional Hausdorff operator |
| title_full_unstemmed | Variable Herz–Morrey estimates for rough fractional Hausdorff operator |
| title_short | Variable Herz–Morrey estimates for rough fractional Hausdorff operator |
| title_sort | variable herz morrey estimates for rough fractional hausdorff operator |
| topic | Hausdorff operator Rough kernel Boundedness Variable exponent Herz-type spaces |
| url | https://doi.org/10.1186/s13660-024-03110-8 |
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