Sparse domination for singular integral operators and their commutators in Dunkl setting with applications
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912392782282752 |
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| author | Chen, Yanping Han, Xueting |
| author_facet | Chen, Yanping Han, Xueting |
| contents | In this paper, we establish sparse dominations for the Dunkl-Calderón-Zygmund operators and their commutators in the Dunkl setting. As applications, we first define the Dunkl-Muckenhoupt $A_p$ weight and obtain the weighted bounds for the Dunkl-Calderón-Zygmund operators, as well as the two-weight bounds for their commutators. Moreover, we also obtain the boundedness of the Dunkl-Calderón-Zygmund operators on the extrapolation space of a family of Banach function spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_18974 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sparse domination for singular integral operators and their commutators in Dunkl setting with applications Chen, Yanping Han, Xueting Classical Analysis and ODEs Primary: 42B35. Secondary: 42B25, 42B20 In this paper, we establish sparse dominations for the Dunkl-Calderón-Zygmund operators and their commutators in the Dunkl setting. As applications, we first define the Dunkl-Muckenhoupt $A_p$ weight and obtain the weighted bounds for the Dunkl-Calderón-Zygmund operators, as well as the two-weight bounds for their commutators. Moreover, we also obtain the boundedness of the Dunkl-Calderón-Zygmund operators on the extrapolation space of a family of Banach function spaces. |
| title | Sparse domination for singular integral operators and their commutators in Dunkl setting with applications |
| topic | Classical Analysis and ODEs Primary: 42B35. Secondary: 42B25, 42B20 |
| url | https://arxiv.org/abs/2505.18974 |