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arXiv · 2604.08984

Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line

Sourav Dutta·Saswata Adhikari
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Abstract

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.

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Sourav Dutta, Saswata Adhikari. 2026-04-10. Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line. https://arxiv.org/abs/2604.08984

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