Liangchuan Wu

activity

20242026

collaborators

9 papers

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

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…