Xuan Thinh Duong

activity

20102023

most citedWeighted norm inequalities, Gaussian bounds and sharp spectral multipliers

3 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.CA2023

The Garnett-Jones Theorem on BMO spaces associated with operators and applications

Peng Chen, Xuan Thinh Duong, Ji Li +2

Let $X$ be a metric space with doubling measure, and $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ whose heat kernel satisfies the Gaussian upper bound. Let $f$ be in the…

math.CA2023

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Jorge J. Betancor, Xuan Thinh Duong, Ming-Yi Lee +2

Fix $λ > 0$ . Consider the Bessel operator $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ on $R_{+}$ , where $R_{+} := (0, \infty)$ and $d m_{λ} := x^{2 λ} d x$ with $d x$ …

math.AP2017★ 1 cited

Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data

The Anh Bui, Xuan Thinh Duong

Consider the following nonlinear elliptic equation of $p (x)$ -Laplacian type with nonstandard growth \begin{equation*} \left\{ \begin{aligned} &{\rm div} a(Du, x)=μ\quad &\text{in}&…

math.AP2016★ 1 cited

Exponential-square integrability, weighted inequalities for the square functions associated to operators and applications

Peng Chen, Xuan Thinh Duong, Liangchuan Wu +1

Let $X$ be a metric space with a doubling measure. Let $L$ be a nonnegative self-adjoint operator acting on $L^{2} (X)$ , hence $L$ generates an analytic semigroup $e^{- t L}$ . Assume th…

math.AP2016

Weighted estimates for powers and Smoothing estimates of Schrödinger operators with inverse-square potentials

The Anh Bui, Piero D'Ancona, Xuan Thinh Duong +2

Let $L_{a}$ be a Schrödinger operator with inverse square potential $a ∣ x ∣^{- 2}$ on $R^{d}, d \geq 3$ . The main aim of this paper is to prove weighted estimates for fr…

math.AP2016

A Moser type inequality for Bessel Laplace equations and applications

Xuan Thinh Duong, Zihua Guo, Ji Li +1

In this paper, we study Bessel operators and Bessel Laplace equations studied by Weinstein, Huber, and related the harmonic function theory introduced by Muckenhoupt--Stein. We est…