Author

Chao-Jie Wen

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Preprint Aug 2026

Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights

Let $\alpha>-1/2$, $\alpha\ne0$, and let $$ \Delta_\alpha=-\frac{d^2}{dx^2}-\frac{2\alpha}{x}\frac{d}{dx} $$ be the Bessel operator on $\mathbb R_+=(0,\infty)$. We characterize boundedness and compactness of commutators of $R_\alpha=\frac{d}{dx}\Delta_\alpha^{-1/2}$ on the Andersen--Kerman two-weight setting. For $1<p<...

Ji Li, Chong-Wei Liang, Chao-Jie Wen et al. · 0 citations

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

Sharp weighted estimates for the Bessel Riesz transform and its commutator with Andersen--Kerman weights

Let $\lambda>-1/2$, $\lambda\neq0$, and let $\Delta_\lambda=-\frac{d^2}{dx^2}-\frac{2\lambda}{x}\frac{d}{dx}$ be the Bessel operator on $\mathbb R_+=(0,\infty)$ studied by Muckenhoupt and Stein (TAMS 1965). Andersen and Kerman (Studia Math. 1981) proved that for $1<p<\infty$, the Bessel Riesz transform $R_\lambda=\frac...

Chao-Jie Wen · 0 citations