X. Duong

发表

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

Lixin Yan, Peng Chen, X. Duong, 2020, Journal of the Mathematical Society of Japan.

Lower bound of Riesz transform kernels revisited and commutators on stratified Lie groups

B. Wick, X. Duong, Ji Li, 2018, 1803.01301.

Spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates

Lixin Yan, X. Duong, 2011 .

Gaussian upper bounds for heat kernels of a class of nondivergence operators

E. Ouhabaz, X. Duong, 2003 .

The $L^p$ boundedness of Riesz transforms associated with divergence form operators

A. Mcintosh, X. Duong, 1999 .

Riesz transform on manifolds and heat kernel regularity

P. Auscher, S. Hofmann, X. Duong, 2004, math/0411374.

Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss

Xuan Thinh Duong, Thierry Coulhon, X. Duong, 2000, Advances in Differential Equations.

Sharp Weighted Estimates for Square Functions Associated to Operators on Spaces of Homogeneous Type

X. Duong, T. A. Bui, 2020, The Journal of Geometric Analysis.

Weighted Norm Inequalities for Commutators of BMO Functions and Singular Integral Operators with Non-Smooth Kernels

X. Duong, T. A. Bui, 2014 .

COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS

D. Deng, Lixin Yan, A. Sikora, 2006, math/0609454.

Sharp weighted norm inequalities for singular integrals with non–smooth kernels

X. Duong, T. A. Bui, 2020, Mathematische Zeitschrift.

Singular integral operators with non-smooth kernels on irregular domains

A. Mcintosh, X. Duong, 1999 .

Old and New Morry Spaces via Heat Kernel Bounds

X. Duong, J. Xiao, L. Yan, 2006, math/0610078.

On commutators of fractional integrals

X. Duong, L. Yan, 2004 .

On the flows associated to selfadjoint operators on metric measure spaces

X. Duong, T. A. Bui, P. D’Ancona, 2019, Mathematische Annalen.

Besov and Triebel-Lizorkin Spaces Associated to Hermite Operators

X. Duong, T. A. Bui, 2014, Journal of Fourier Analysis and Applications.

Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces

The Quan Bui, X. Duong, T. A. Bui, 2022, Journal of Differential Equations.

Marcinkiewicz-Type Spectral Multipliers on Hardy and Lebesgue Spaces on Product Spaces of Homogeneous Type

Lesley A. Ward, Lixin Yan, Peng Chen, 2016, Journal of Fourier Analysis and Applications.

Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type

Lesley A. Ward, Lixin Yan, Peng Chen, 2015, Mathematische Zeitschrift.

Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains

X. Duong, T. A. Bui, 2017, Calculus of Variations and Partial Differential Equations.

Higher-Order Riesz Transforms of Hermite Operators on New Besov and Triebel–Lizorkin Spaces

X. Duong, T. A. Bui, 2020, Constructive Approximation.

Weighted Norm Inequalities for Spectral Multipliers on Graphs

X. Duong, T. A. Bui, 2015, Potential Analysis.

Weighted Norm Inequalities for Commutators of BMO Functions and Singular Integral Operators with Non-Smooth Kernels

Lixin Yan, X. Duong, T. A. Bui, 2003, The Journal of Geometric Analysis.

Two Weight Commutators on Spaces of Homogeneous Type and Applications

B. Wick, X. Duong, Ji Li, 2019, The Journal of Geometric Analysis.

Hardy Spaces, Regularized BMO Spaces and the Boundedness of Calderón–Zygmund Operators on Non-homogeneous Spaces

X. Duong, T. A. Bui, 2011, Journal of Geometric Analysis.

Weak Type (1,1) Bounds for Schrödinger Groups

Lixin Yan, Peng Chen, X. Duong, 2019, Michigan Mathematical Journal.

Sharp endpoint $$L^p$$ estimates for Schrödinger groups

Lixin Yan, Peng Chen, X. Duong, 2018, Mathematische Annalen.

Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials

X. Duong, Younghun Hong, 2016 .

Almost everywhere convergence of Bochner-Riesz means for the Hermite operators

Xuan Thinh Duong, Lixin Yan, Sanghyuk Lee, 2020, Advances in Mathematics.

Fundamental properties of Cauchy--Szeg\H{o} projection on quaternionic Siegel upper half space and applications

Wei Wang, Xuan Thinh Duong, Der-Chen Chang, 2021, 2110.12210.

Marcinkiewicz-Type Spectral Multipliers on Hardy and Lebesgue Spaces on Product Spaces of Homogeneous Type

Lesley A. Ward, Lixin Yan, Peng Chen, 2015, 1512.01607.

Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type

Lesley A. Ward, Lixin Yan, Peng Chen, 2015, 1510.02559.

Calderón reproducing formulas and new Besov spaces associated with operators

Lixin Yan, H. Bui, X. Duong, 2012 .

Weighted Sobolev's inequalities for bounded domains and singular elliptic equations

N. Phuc, X. Duong, N. V. Truyen, 2007 .

Riesz transform and related inequalities on non‐compact Riemannian manifolds

X. Duong, T. Coulhon, 2003 .

Plancherel Type Estimates and Sharp Spectral Multipliers

Adam S. Sikora, A. Sikora, E. Ouhabaz, 2002 .

Semigroup Kernels, Poisson Bounds, and Holomorphic Functional Calculus

Derek W. Robinson, Xuan Thinh Duong, D. W. Robinson, 1996 .

H∞ functional calculus of elliptic operators with C∞ coefficients on Lp spaces of smooth domains

X. Duong, 1990, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

Functional calculus of operators with heat kernel bounds on non-doubling manifolds with ends

B. Wick, X. Duong, Ji Li, 2018, Indiana University Mathematics Journal.

End-point estimates for singular integrals with non-smooth kernels on product spaces

Lixin Yan, X. Duong, Ji Li, 2015, 1509.07548.

Littlewood-Paley-Stein functions on complete Riemannian manifolds for 1 ≤ p ≤ 2

X. Duong, T. Coulhon, X. Li, 2003 .

Besov and Triebel-Lizorkin Spaces Associated to Hermite Operators

X. Duong, T. A. Bui, 2015 .

Two Weight Commutators on Spaces of Homogeneous Type and Applications

B. Wick, X. Duong, Ji Li, 2018, The Journal of Geometric Analysis.

Commutators, Little BMO and Weak Factorization

B. Wick, X. Duong, Ji Li, 2016, 1609.00784.

Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces

X. Duong, 2020 .

Old and New Morrey Spaces with Heat Kernel Bounds

Lixin Yan, X. Duong, J. Xiao, 2007 .

Multilinear operators with non-smooth kernels and commutators of singular integrals

Lixin Yan, X. Duong, Loukas Grafakos, 2009 .

Maximal Operator for Multilinear Singular Integrals with Non-smooth Kernels

Lixin Yan, X. Duong, Ji Li, 2009 .

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

Lixin Yan, Peng Chen, X. Duong, 2019, Journal of Differential Equations.

Boundedness of maximal functions on non-doubling manifolds with ends

A. Sikora, X. Duong, Ji Li, 2013, 1302.0146.

Hardy Spaces, Regularized BMO Spaces and the Boundedness of Calderón–Zygmund Operators on Non-homogeneous Spaces

X. Duong, T. A. Bui, 2010, 1009.1274.

Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains

X. Duong, T. A. Bui, 2017, 1702.06202.

New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications

Lixin Yan, X. Duong, 2005 .

Characterizations of Product Hardy Spaces in Bessel Setting

B. Wick, X. Duong, Ji Li, 2021, Journal of Fourier Analysis and Applications.

Weighted Estimates of Singular Integrals and Commutators in the Zygmund Dilation Setting

J. Pipher, B. Wick, X. Duong, 2019, 1905.00999.

Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators

B. Wick, J. Betancor, X. Duong, 2017, Indiana University Mathematics Journal.

Characterizations of Product Hardy Spaces in Bessel Setting

B. Wick, X. Duong, Ji Li, 2016, Journal of Fourier Analysis and Applications.

Commutators of multiparameter flag singular integrals and applications

J. Pipher, B. Wick, X. Duong, 2018, Analysis & PDE.

Exponential-Square Integrability, Weighted Inequalities for the Square Functions Associated to Operators, and Applications

Lixin Yan, Peng Chen, X. Duong, 2016, International Mathematics Research Notices.

On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels

X. Duong, 2010 .

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

B. Wick, J. Betancor, X. Duong, 2023, 2303.07952.

Hardy spaces associated to self-adjoint operators on general domains

X. Duong, Ji Li, Chin-Cheng Lin, 2022, Collectanea Mathematica.

Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications

Fu Ken Ly, X. Duong, T. A. Bui, 2018, Journal of Functional Analysis.

Factorization for Hardy spaces and characterization for BMO spaces via commutators in the Bessel setting

B. Wick, X. Duong, Ji Li, 2015, 1509.00079.

Hardy spaces associated to operators satisfying Davies–Gaffney estimates and bounded holomorphic functional calculus☆

X. Duong, Ji Li, 2013 .

Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems

Dorina Mitrea, Marius Mitrea, Xuan Thinh Duong, 2013 .

On the atomic decomposition for Hardy spaces on Lipschitz domains of Rn

Lixin Yan, X. Duong, 2004 .

Hardy spaces of spaces of homogeneous type

Lixin Yan, X. Duong, 2003 .

A two weight inequality for Calder\'{o}n-Zygmund operators on spaces of homogeneous type with applications

Manasa N. Vempati, B. Wick, E. Sawyer, 2020, 2006.05628.

H 1 -calculus for Elliptic Operators with Non-smooth Coefficients

G. Simonett, X. Duong, 1997 .

Two weight commutators in the Dirichlet and Neumann Laplacian settings

B. Wick, I. Holmes, X. Duong, 2017, Journal of Functional Analysis.

Weighted Hardy spaces associated to operators and boundedness of singular integrals

X. Duong, T. A. Bui, 2012, 1202.2063.

On the flows associated to selfadjoint operators on metric measure spaces

X. Duong, D. Müller, T. A. Bui, 2019, Mathematische Annalen.

Endpoint estimates for Riesz transforms of magnetic Schrödinger operators

Lixin Yan, E. Ouhabaz, X. Duong, 2006 .

Product BMO, Little BMO, and Riesz Commutators in the Bessel Setting

B. Wick, X. Duong, Yumeng Ou, 2017, The Journal of Geometric Analysis.

Product BMO, Little BMO, and Riesz Commutators in the Bessel Setting

B. Wick, X. Duong, Ji Li, 2016, 1609.01368.

Weighted bounds for multilinear operators with non-smooth kernels

José M. Conde-Alonso, X. Duong, T. A. Bui, 2015, 1506.07752.

Carleson measures, BMO spaces and balayages associated to Schrödinger operators

Lixin Yan, Peng Chen, X. Duong, 2017, 1704.07997.

A sharp regularity estimate for the Schrödinger propagator on the sphere

Lixin Yan, Sanghyuk Lee, X. Duong, 2020, Journal de Mathématiques Pures et Appliquées.

A Littlewood–Paley Type Decomposition and Weighted Hardy Spaces Associated with Operators

Lixin Yan, X. Duong, Ji Li, 2016 .

A Littlewood–Paley Type Decomposition and Weighted Hardy Spaces Associated with Operators

Lixin Yan, X. Duong, Ji Li, 2015, The Journal of Geometric Analysis.

Boundedness of singular integrals and their commutators with BMO functions on Hardy spaces

X. Duong, T. A. Bui, 2011, Advances in Differential Equations.

Riesz transforms for 1 ≤ p ≤ 2

X. Duong, T. Coulhon, 1999 .

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

X. Duong, T. A. Bui, 2018, Nonlinear Differential Equations and Applications NoDEA.

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

X. Duong, T. A. Bui, 2017, Nonlinear Differential Equations and Applications NoDEA.

Operator Theory and Harmonic Analysis

Xuan Duong, David W. Albrecht, Alan McIntosh, 2021, Springer Proceedings in Mathematics & Statistics.

Functional calculi of second-order elliptic partial differential operators with bounded measurable coefficients

A. Mcintosh, X. Duong, 1996 .

Hardy Spaces Associated to Critical Functions and Applications to T1 Theorems

X. Duong, Luong Dang Ky, T. A. Bui, 2020, Journal of Fourier Analysis and Applications.

Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type

Fu Ken Ly, X. Duong, T. A. Bui, 2016, Transactions of the American Mathematical Society.

Laguerre operator and its associated weighted Besov and Triebel-Lizorkin spaces

X. Duong, 2016 .

Sharp endpoint estimates for Schrödinger groups on Hardy spaces

Lixin Yan, Peng Chen, X. Duong, 2019, Journal of Differential Equations.

A Moser type inequality for Bessel Laplace equations and applications

Zihua Guo, X. Duong, Ji Li, 2016, 1607.04101.

Regularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spaces

X. Duong, T. A. Bui, 2018, Journal of the Mathematical Society of Japan.

Bounded holomorphic functional calculus for non-divergence form differential operators

X. Duong, L. Yan, 2002, Differential and Integral Equations.

$H_\infty$-calculus for elliptic operators with nonsmooth coefficients

G. Simonett, X. Duong, 1997, Differential and Integral Equations.

Higher-Order Riesz Transforms of Hermite Operators on New Besov and Triebel–Lizorkin Spaces

X. Duong, T. A. Bui, 2020 .

Variation of Calderón–Zygmund operators with matrix weight

X. Duong, Ji Li, Dongyong Yang, 2018, Communications in Contemporary Mathematics.

Compactness of Riesz transform commutator associated with Bessel operators

X. Duong, Ji Li, Huo-xiong Wu, 2016, Journal d'Analyse Mathématique.

Weighted BMO spaces associated to operators

X. Duong, T. A. Bui, 2012, 1201.5828.

Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers

Adam S. Sikora, Lixin Yan, A. Sikora, 2010, 1003.1831.

Global Marcinkiewicz estimates for nonlinear parabolic equations with nonsmooth coefficients

X. Duong, T. A. Bui, 2017, 1702.06200.

Regularity estimates for higher order elliptic systems on Reifenberg flat domains

X. Duong, Xuan Truong Le, 2016 .

Riesz transforms for p>2

X. Duong, T. Coulhon, 2001 .

H1-CALCULUS FOR ELLIPTIC OPERATORS WITH NONSMOOTH COEFFICIENTS*

G. Simonett, X. Duong, 2013 .

Spectral Multipliers of Self-Adjoint Operators on Besov and Triebel–Lizorkin Spaces Associated to Operators

X. Duong, T. A. Bui, 2018, International Mathematics Research Notices.

Weighted estimates for powers and Smoothing estimates of Schr\"odinger operators with inverse-square potentials

Fu Ken Ly, X. Duong, Ji Li, 2016, 1609.01938.

An explicit formula of Cauchy-Szego kernel for quaternionic Siegel upper half space and applications

Wei Wang, Xuan Thinh Duong, Der-Chen Chang, 2019, Indiana University Mathematics Journal.

Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness

Xuan Duong, Brett D. Wick, Michael T. Lacey, 2021 .

Compactness of Riesz transform commutator on stratified Lie groups

Peng Chen, X. Duong, Ji Li, 2018, Journal of Functional Analysis.

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

Peng Chen, X. Duong, Liang Song, 2023, 2304.08606.

Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems

X. Duong, Xuan Truong Le, 2019, Nonlinear Analysis.

Weighted Lorentz estimates for parabolic equations with non-standard growth on rough domains

X. Duong, T. A. Bui, 2017 .

Quantitative Estimates for Square Functions with New Class of Weights

Xuan Thinh Duong, The Anh Bui, The Quan Bui, 2021, Potential Analysis.

Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators

Xuan Thinh Duong, Ji Li, Liang Song, 2019, J. Approx. Theory.

Multilinear operators with non-smooth kernels and commutators of singular integrals

Lixin Yan, X. Duong, Loukas Grafakos, 2009 .

Multilinear Operators with Non-smooth Kernels and Commutators of Singular Integrals

X. Duong, Loukas Grafakos, 2022 .

Weak type $(1,1)$ estimates of maximal truncated singular operators

Lixin Yan, X. Duong, 2003 .

The Cauchy-Szeg\H{o} Projection and its commutator for domains in $\mathbb C^n$ with minimal smoothness: Optimal bounds

B. Wick, Loredana Lanzani, X. Duong, 2020, 2005.12740.

The Commutator of the Cauchy--Szeg\H{o} Projection for Domains in $\mathbb C^n$ with Minimal Smoothness

B. Wick, Loredana Lanzani, X. Duong, 2020 .

Commutators of Cauchy--Szeg\H{o} type integrals for domains in $\mathbb C^n$ with minimal smoothness.

M. Lacey, B. Wick, X. Duong, 2019 .

Commutators of Cauchy type integrals for domains in $\C^n$ with minimal smoothness

M. Lacey, B. Wick, X. Duong, 2018, 1809.08335.

Commutators of Cauchy–Fantappiè Type Integrals on Generalized Morrey Spaces on Complex Ellipsoids

X. Duong, N. Dao, L. Ha, 2021, The Journal of Geometric Analysis.

Compactness of Riesz transform commutator associated with Bessel operators

X. Duong, D. Yang, Ji Li, 2018, Journal d'Analyse Mathématique.

Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers

X. Duong, T. A. Bui, 2011, 1112.0823.

Weighted Norm Inequalities for Spectral Multipliers on Graphs

X. Duong, T. A. Bui, 2016 .

Hardy spaces associated to the discrete Laplacians on graphs and boundedness of singular integrals

X. Duong, 2014 .

WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS

H. Bui, X. Duong, T. A. Bui, 2020, Forum of Mathematics, Sigma.

Weighted Besov and Triebel--Lizorkin spaces associated to operators

H. Bui, X. Duong, T. A. Bui, 2018, 1809.02795.

New Atomic Decomposition for Besov Type Space B˙1,10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\dot{B}^0_{1,1}$$\

X. Duong, T. A. Bui, 2023, Journal of Fourier Analysis and Applications.

Regularity estimates for the Cauchy problem to a parabolic equation associated to fractional harmonic oscillators

Xuan Thinh Duong, The Anh Bui, The Quan Bui, 2021 .

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

Lixin Yan, X. Duong, Ji Li, 2024, 2405.01791.

Complex multiplicative perturbations of elliptic operators: heat kernel bounds and holomorphic functional calculus

E. Ouhabaz, X. Duong, 1999, Differential and Integral Equations.

PROCEEDINGS OF THE INTERNET ANALYSIS SEMINAR ON: RIESZ TRANSFORMS ASSOCIATED TO SCHRÖDINGER OPERATORS

P. Auscher, M. Lacey, B. Wick, 2015 .