X. Duong

activity

20042026

most citedWeighted Hardy spaces associated to operators and boundedness of singular integrals

16 citations · 98 across the 65 of their papers we have counts for

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23 papers · 1 filter

math.AP2026

Inequalities for radial solutions to the wave equation on the hyperbolic space

Peng Chen, Xuan Thinh Duong, Yunxiang Wang +1

Let $H^{n}$ be the $n$ -dimensional hyperbolic space, and $Δ_{H^{n}}$ be the Laplace--Beltrami operator on $H^{n}$ . Let $u = u (t, \cdot)$ be the solution to the wave…

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…

math.AP2020

A sharp regularity estimate for the Schrödinger propagator on the sphere

Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1

Let $Δ_{S^{n}}$ denote the Laplace-Beltrami operator on the $n$ -dimensional unit sphere $S^{n}$ . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…

math.AP2020★ 1 cited

The Schrödinger equation in $L^{p}$ spaces for operators with heat kernel satisfying Poisson type bounds

Peng Chen, Xuan Thinh Duong, Zhijie Fan +2

Let $L$ be a non-negative self-adjoint operator acting on $L^{2} (X)$ where $X$ is a space of homogeneous type with a dimension $n$ . In this paper, we study sharp endpoint $L^{p}$ -Sobol…

math.AP2019

BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends

Peng Chen, Xuan Thinh Duong, Ji Li +2

Consider a non-doubling manifold with ends $M = R^{n} ♯ R^{m}$ where $R^{n} = R^{n} \times S^{m - n}$ for $m > n \geq 3$ . We say that a…

math.AP2019

Weak type $(1, 1)$ bounds for Schrödinger groups