Ji Li

activity

20242026

collaborators

8 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

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…

math.CA2025

Endpoint boundedness of singular integrals: CMO space associated to Schrödinger operators

Xueting Han, Ji Li, Liangchuan Wu

Let $L = - Δ + V$ be a Schrödinger operator acting on $L^{2} (R^{n})$ , where the nonnegative potential $V$ belongs to the reverse Hölder class $R H_{q}$ for some $…

math.AP2024

Hölder regularity and Liouville Theorem for the Schrödinger equation with certain critical potentials, and applications to Dirichlet problems

Bo Li, Ji Li, Liangchuan Wu

Let $(X, d, μ)$ be a metric measure space satisfying a doubling property with the upper/lower dimension $Q \geq n > 1$ , and admitting an $L^{2}$ -Poincaré inequality. In this article, we es…

math.AP2024

Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications

Xuan Thinh Duong, Ji Li, Liangchuan Wu +1

In this article, we establish global-in-time maximal regularity for the Cauchy problem of the classical heat equation $\partial_{t} u (x, t) - Δ u (x, t) = f (x, t)$ with $u (x, 0) = 0$ in a certai…