Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918129796382720 |
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| author | Sultan, Babar Hussain, Amjad Sultan, Mehvish |
| author_facet | Sultan, Babar Hussain, Amjad Sultan, Mehvish |
| contents | In this paper, the concept of grand variable Herz-Morrey-Hardy spaces are introduced. We also establish the atomic characterization of these spaces. As an application the authors investigate the continuity of a few singular integral operators. We also obtain the boundedness of commutators of homogeneous fractional integrals and their Lipschitz estimate on these spaces by applying the characterization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators Sultan, Babar Hussain, Amjad Sultan, Mehvish Functional Analysis In this paper, the concept of grand variable Herz-Morrey-Hardy spaces are introduced. We also establish the atomic characterization of these spaces. As an application the authors investigate the continuity of a few singular integral operators. We also obtain the boundedness of commutators of homogeneous fractional integrals and their Lipschitz estimate on these spaces by applying the characterization. |
| title | Grand variable Herz-Morrey-Hardy Spaces and applications to the boundedness of integral operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.17295 |