Author

Liang-Chuan Wu

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Preprint Sep 2026

Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold

We prove a H\"ormander multiplier theorem for the Dunkl transform associated with an arbitrary finite reflection group. Uniform $H^\sigma(\mathbb{R}^N)$ bounds for the normalised dyadic pieces of a measurable symbol, with $\sigma>\mathbf N/2$ and $\mathbf N$ the homogeneous dimension, imply $L^p(d\omega)$ boundedness f...

Der-Chen Chang, Ji Li, Chao-Jie Wen et al. · 2 citations · ⚡1

Preprint Aug 2026

A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation

We prove a Fefferman--Stein good-$\lambda$ inequality for the Dunkl Poisson semigroup associated with a finite reflection group and a non-negative multiplicity function. For arbitrary complex-valued $f\in C_c^\infty(\mathbb R^N)$, with no $G$-invariance assumption, it compares the orbit-conical non-tangential maximal f...

Yuying Chen, Yanchang Han, Yong-sheng Han et al. · 0 citations