Some norm inequalities for commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915223860936704 |
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| author | Gurbuz, Ferit |
| author_facet | Gurbuz, Ferit |
| contents | In harmonic analysis, the studies of inequalities of classical operators (= singular, maximal, Riesz potentials etc.) in various function spaces have a very important place. The maturation of many topics in the field of harmonic analysis, as a result of various needs and developments to respond to the problems of the time, has also led to the emergence of many studies and works on these topics. In [3], under some conditions, the boundedness of Riesz potential on homogeneous variable exponent Herz-Morrey-Hardy spaces has been given. Inspired by the work of [3], in this work, by the atomic decompositions, we obtain the boundedness of commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01854 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some norm inequalities for commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces Gurbuz, Ferit Analysis of PDEs Primary 46E35, Secondary 42B25, 42B35 In harmonic analysis, the studies of inequalities of classical operators (= singular, maximal, Riesz potentials etc.) in various function spaces have a very important place. The maturation of many topics in the field of harmonic analysis, as a result of various needs and developments to respond to the problems of the time, has also led to the emergence of many studies and works on these topics. In [3], under some conditions, the boundedness of Riesz potential on homogeneous variable exponent Herz-Morrey-Hardy spaces has been given. Inspired by the work of [3], in this work, by the atomic decompositions, we obtain the boundedness of commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces. |
| title | Some norm inequalities for commutators generated by the Riesz potentials on homogeneous variable exponent Herz-Morrey-Hardy spaces |
| topic | Analysis of PDEs Primary 46E35, Secondary 42B25, 42B35 |
| url | https://arxiv.org/abs/2504.01854 |