Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917398495363072 |
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| author | Dutta, Sourav Adhikari, Saswata |
| author_facet | Dutta, Sourav Adhikari, Saswata |
| contents | In this paper, we study the weighted boundedness of the Dunkl fractional integral operator (i.e., Dunkl Stein-Weiss inequality) associated with the Dunkl operator on $\mathbb{R}$. Indeed, we obtain the Adams-type Dunkl Stein-Weiss inequality on Dunkl-Morrey spaces. Our result extends the classical Adams type Stein-Weiss inequality on Morrey space result to the Dunkl setting. Furthermore, we establish the weighted boundedness of the Dunkl fractional maximal function on Dunkl Morrey spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_08984 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line Dutta, Sourav Adhikari, Saswata Classical Analysis and ODEs In this paper, we study the weighted boundedness of the Dunkl fractional integral operator (i.e., Dunkl Stein-Weiss inequality) associated with the Dunkl operator on $\mathbb{R}$. Indeed, we obtain the Adams-type Dunkl Stein-Weiss inequality on Dunkl-Morrey spaces. Our result extends the classical Adams type Stein-Weiss inequality on Morrey space result to the Dunkl setting. Furthermore, we establish the weighted boundedness of the Dunkl fractional maximal function on Dunkl Morrey spaces. |
| title | Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2604.08984 |