Xuejing Huo

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math.CA2026

Endpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-Space

The Anh Bui, Xuan Thinh Duong, Xuejing Huo +1

Let $R = \nabla (- Δ_{D})^{- 1/2}$ be the Riesz transform associated with the Dirichlet Laplacian on the upper half-space $R_{+}^{n}$ , and let $H_{r}^{1} (R_{+}^{n})$ denote…

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 $ω$ on $L^{2} (R^{n})$ with $0 \leq ω < π /2$ . We assume that $L$ possesses a bounded $H_{\infty}$ -functional calculus…

math.CA2023

Sharp estimates for imaginary powers of Bessel operators

The Anh Bui, Xuejing Huo, Ji Li

Let $L f (x) := - \frac{d ^{2}}{d x ^{2}} f (x) - \frac{r}{x} \frac{d}{d x} f (x), x > 0, r > 0$ be the Bessel operator on $((0, \infty), ∣ \cdot ∣, x^{r} d x)$ . In this paper, we prove the sharp weak typ…