Liang-Chuan Wu

activity

20242026

collaborators

12 papers

math.CA2026

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

Yuying Chen, Yanchang Han, Yongsheng Han +2

We prove a Fefferman--Stein good- $λ$ inequality for the Dunkl Poisson semigroup associated with a finite reflection group and a non-negative multiplicity function. For arbitrary co…

math.CA2026

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

Ji Li, Chong-Wei Liang, Chaojie Wen +1

Let $α > - 1/2$ , $α \neq = 0$ , and let $Δ_{α} = - \frac{d ^{2}}{d x ^{2}} - \frac{2 α}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} = (0, \infty)$ . We characterize boundedness and compactness…

math.CA2026

Chamber lifting and non-radial Dunkl multipliers

Der-Chen Chang, Ji Li, Chaojie Wen +1

We study non-radial Dunkl multipliers via chamber lifting. For an arbitrary finite reflection group $G$ , the chamber lifting records all reflected values of a function and conjugat…

math.CA2026

Two-weight inequalities for the Dunkl--Poisson integrals

Qingdong Guo, Ji Li, Brett D. Wick +1

We prove an $L^{2}$ two-weight testing theorem for the Dunkl--Poisson semigroup. The difficulty is geometric. The Dunkl orbit distance has several reflected diagonals, so a single or…

math.CA2026

Calderon-type commutators and chamber lifting in the Dunkl setting

Yongsheng Han, Ming-Yi Lee, Ji Li +2

Let $G$ be a finite reflection group, and let $T_{j}$ , $Δ_{κ}$ , and $d ω$ denote its Dunkl operators, Laplacian, and measure, respectively. Write $R_{j} = - T_{j} (- Δ_{κ})^{- 1/2}$ for th…

math.CA2026

Haar bases for multi-parameter twisted structures

Ji Li, Chong-Wei Liang, Brett D. Wick +2

Motivated by the Cauchy--Szegő projections on a broad class of Siegel domains and the geometric quotient structures of nilpotent Lie groups observed by Nagel, Ricci, and Stein, we…