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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.00340 |
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| _version_ | 1866909462165454848 |
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| author | Dou, Mengmeng Zhang, Jiashu |
| author_facet | Dou, Mengmeng Zhang, Jiashu |
| contents | The purpose of this paper is to characterize the homogeneous Besov space in the Dunkl setting. We utilize a new discrete reproducing formula, that is, the building blocks are differences of the Dunkl-Poisson kernel which involves both the Euclidean metric and the Dunkl metric. To introduce the Besov spaces in the Dunkl setting, new test functions and distributions are introduced, and a new decomposition is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00340 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneous Besov Spaces in Dunkl setting Dou, Mengmeng Zhang, Jiashu Classical Analysis and ODEs The purpose of this paper is to characterize the homogeneous Besov space in the Dunkl setting. We utilize a new discrete reproducing formula, that is, the building blocks are differences of the Dunkl-Poisson kernel which involves both the Euclidean metric and the Dunkl metric. To introduce the Besov spaces in the Dunkl setting, new test functions and distributions are introduced, and a new decomposition is established. |
| title | Homogeneous Besov Spaces in Dunkl setting |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2408.00340 |