Xueting Han

collaborators

5 papers

math.AP2026

Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces

The Anh Bui, Xueting Han, Suman Mukherjee

Let $L$ be the Dunkl Laplacian on the Euclidean space $R^{N}$ associated with a normalized root system $R$ and a multiplicity function $k (I^½) \geq 0$ , $I^½ \in R$ . We establish…

math.CA2026

Endpoint Estimates for Certain Singular Integrals with Non-smooth Kernels

Xueting Han, Xuejing Huo

Let $L$ be a closed, densely defined operator of type $I ¨ $ on $L^{2} (R^{n})$ with $0 \leq I ¨ < I ¨ /2$ . We assume that $L$ possesses a bounded $H_{\infty}$ -functional calcul…

math.CA2025

Sparse domination for singular integral operators and their commutators in Dunkl setting with applications

Yanping Chen, Xueting Han

In this paper, we establish sparse dominations for the Dunkl-CalderÃ³n-Zygmund operators and their commutators in the Dunkl setting. As applications, we first define the Dunkl-Muck…

math.CA2025

Endpoint boundedness of singular integrals: CMO space associated to SchrÃ¶dinger operators

Xueting Han, Ji Li, Liangchuan Wu

Let $L = - I^ + V$ be a SchrÃ¶dinger operator acting on $L^{2} (R^{n})$ , where the nonnegative potential $V$ belongs to the reverse HÃ¶lder class $R H_{q}$ for som…

math.CA2025

The fractional Riesz transform and their commutator in Dunkl setting

Yanping Chen, Xueting Han, Liangchuan Wu

In this paper, we study the boundedness of the fractional Riesz transforms in the Dunkl setting. Moreover, we establish the necessary and sufficient conditions for the boundedness…