• 1805 Citations
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1990 …2022
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Research Outputs 1990 2019

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2019

Commutators of multiparameter flag singular integrals and applications

Duong, X. T., Li, J., Ou, Y., Pipher, J. & Wick, B. D., 1 Jan 2019, In : Analysis and PDE. 12, 5, p. 1325-1355 31 p.

Research output: Contribution to journalArticleResearchpeer-review

Electric commutators
Singular Integrals
Commutator
Ap Weights
Muckenhoupt Weights
Littlewood-Paley Function
Square Functions
Product Space
Heat Kernel
Hardy Space

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

Duong, X. T., Li, J., Song, L. & Yan, L., 1 Jul 2019, In : Journal of Approximation Theory. 243, p. 45-85 41 p.

Research output: Contribution to journalArticleResearchpeer-review

Hardy Space
Semigroup
Lp-norm
Decomposition
Decompose

Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups

Duong, X. T., Li, H-Q., Li, J. & Wick, B. D., Apr 2019, In : Journal des Mathematiques Pures et Appliquees. 124, p. 273-299 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Electric commutators
Lie groups
Riesz Transform
Nilpotent Lie Group
Commutator

On the flows associated to selfadjoint operators on metric measure spaces

Bui, T. A., D'Ancona, P., Duong, X. T. & Müller, D., Dec 2019, In : Mathematische Annalen. 375, 3-4, p. 1393-1426 34 p.

Research output: Contribution to journalArticleResearchpeer-review

Dispersive Estimates
Metric Measure Space
Self-adjoint Operator
Doubling Measure
Fractional Powers

Sharp weighted estimates for square functions associated to operators on spaces of homogeneous type

Bui, T. A. & Duong, X. T., 4 Mar 2019, In : Journal of Geometric Analysis.

Research output: Contribution to journalArticleResearchpeer-review

Space of Homogeneous Type
Weighted Estimates
Square Functions
Operator
Doubling Measure

Two weight commutators in the Dirichlet and Neumann Laplacian settings

Duong, X. T., Holmes, I., Li, J., Wick, B. D. & Yang, D., 15 Feb 2019, In : Journal of Functional Analysis. 276, 4, p. 1007-1060 54 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Hardy Space
Commutator
Dirichlet
BMO Space
Ap Weights

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

Bui, T. A., Duong, X. T. & Le, X. T., 1 Mar 2019, In : Nonlinear Analysis, Theory, Methods and Applications. 180, p. 184-207 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Nonlinear Parabolic Systems
Nonlinear Elliptic Systems
Byproducts
Regularity
Higher Order
2018

Commutators, little bmo and weak factorization

Duong, X. T., Li, J., Wick, B. D. & Yang, D., 1 Jan 2018, In : Annales de l'Institut Fourier. 68, 1, p. 109-129 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
Commutator
Factorization
BMO Space
Norm
Riesz Transform

Compactness of Riesz transform commutator associated with Bessel operators

Duong, X. T., Li, J., Mao, S., Wu, H. & Yang, D., 1 Jun 2018, In : Journal d'Analyse Mathematique. 135, 2, p. 639-673 35 p.

Research output: Contribution to journalArticleResearchpeer-review

Bessel Operator
Riesz Transform
Commutator
Compactness
Friedrich Wilhelm Bessel

Global Marcinkiewicz estimates for nonlinear parabolic equations with nonsmooth coefficients

Bui, T. A. & Duong, X. T., 1 Jan 2018, In : Annali della Scuola normale superiore di Pisa - Classe di scienze. 18, 3, p. 881-916 36 p.

Research output: Contribution to journalArticleResearchpeer-review

Nonlinear Parabolic Equations
Parabolic Equation
Signed Measure
Measure Data
Seminorm

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

Bui, T. A., Duong, X. T. & Ly, F. K., 1 Oct 2018, In : Transactions of the American Mathematical Society. 370, 10, p. 7229-7292 64 p.

Research output: Contribution to journalArticleResearchpeer-review

Space of Homogeneous Type
Maximal Function
Hardy Space
Schrödinger Operator
Lie groups

Product BMO, little bmo, and Riesz commutators in the Bessel setting

Duong, X. T., Li, J., Ou, Y., Wick, B. D. & Yang, D., Jul 2018, In : Journal of Geometric Analysis. 28, 3, p. 2558–2601 44 p.

Research output: Contribution to journalArticleResearchpeer-review

Friedrich Wilhelm Bessel
BMO Space
Commutator
Product Space
Bessel Operator

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

Bui, T. A. & Duong, X. T., 1 Aug 2018, In : Nonlinear Differential Equations and Applications. 25, 4, p. 1-37 37 p., 28.

Research output: Contribution to journalArticleResearchpeer-review

Nonstandard Growth
Measure Data
Variable Exponent
Radon
Nonlinear equations
2017

A note on weighted bounds for singular operators with nonsmooth kernels

Bui, T. A., Conde-Alonso, J. M., Duong, X. T. & Hormozi, M., 2017, In : Studia Mathematica. 236, 3, p. 245-269 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Singular Integral Operator
kernel
Multilinear Operators
Fourier multipliers
Riesz Transform

Carleson measures, BMO spaces and balayages associated to Schrödinger operators

Chen, P., Duong, X. T., Li, J., Song, L. & Yan, L., Nov 2017, In : Science China Mathematics. 60, 11, p. 2077–2092 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Balayage
BMO Space
Carleson Measure
Schrödinger Operator
Compact Support

Factorization for hardy spaces and characterization for BMO spaces via commutators in the bessel setting

Duong, X. T., Li, J., Wick, B. D. & Yang, D., 2017, In : Indiana University Mathematics Journal. 66, 4, p. 1081-1106 26 p.

Research output: Contribution to journalArticleResearchpeer-review

BMO Space
Riesz Transform
Friedrich Wilhelm Bessel
Hardy Space
Commutator

Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains

Bui, T. A. & Duong, X. T., 2017, In : Calculus of Variations and Partial Differential Equations. 56, 2, p. 1-24 24 p., 47.

Research output: Contribution to journalArticleResearchpeer-review

Nonsmooth Domains
Nonlinear Parabolic Equations
Lorentz Spaces
Nonlinearity
Estimate

Inhomogeneous Besov spaces associated to operators with off-diagonal semigroup estimates

Bui, T. A. & Duong, X. T., 2017, In : Advances in Differential Equations. 22, 3-4, p. 191-234 44 p.

Research output: Contribution to journalArticleResearchpeer-review

Besov Spaces
Semigroup
Decomposition
Operator
Estimate

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

Bui, T. A. & Duong, X. T., 2017, In : Transactions of the American Mathematical Society. 369, 3, p. 2109-2150 42 p.

Research output: Contribution to journalArticleResearchpeer-review

Triebel-Lizorkin Space
Sobolev spaces
Laplace equation
Mathematical operators
Weighted Spaces

Marcinkiewicz-type spectral multipliers on hardy and Lebesgue spaces on product spaces of homogeneous type

Chen, P., Duong, X. T., Li, J., Ward, L. A. & Yan, L., 2017, In : Journal of Fourier Analysis and Applications. 23, 1, p. 21-64 44 p.

Research output: Contribution to journalArticleResearchpeer-review

Space of Homogeneous Type
Product Space
Lebesgue Space
Hardy Space
Multiplier

VMO spaces associated with operators with Gaussian upper bounds on product domains

Bui, T. A., Duong, X. T. & Li, J., 2017, In : Journal of Geometric Analysis. 27, 2, p. 1065-1085 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Hardy Space
Upper bound
Adjoint Operator
Analytic Semigroup
Infinitesimal Generator

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

Bui, T. A., D'Ancona, P., Duong, X. T., Li, J. & Ly, F. K., 2017, In : Journal of Differential Equations. 262, 3, p. 2771-2807 37 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Estimates
Weighted Inequalities
Schrödinger Operator
Smoothing
Hardy Inequality

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

Bui, T. A. & Duong, X. T., 1 Dec 2017, In : Calculus of Variations and Partial Differential Equations. 56, 6, p. 1-27 27 p., 177.

Research output: Contribution to journalArticleResearchpeer-review

Nonstandard Growth
Nonlinear Parabolic Equations
Parabolic Equation
Rough
Lorentz Spaces
2016

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

Duong, X. T., Li, J. & Yan, L., 1 Apr 2016, In : Journal of Geometric Analysis. 26, 2, p. 1617-1646 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Hardy Space
Decompose
Operator
Littlewood-Paley Function
Distance formula

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

Bui, T. A., Duong, X. T. & Hong, Y., 15 Oct 2016, In : Journal of Functional Analysis. 271, 8, p. 2215-2246 32 p.

Research output: Contribution to journalArticleResearchpeer-review

Dispersive Estimates
Strichartz Estimates
Wave equation
Scaling
Three-dimensional

Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus

Duong, X. T. & Tran, T. D., 2016, In : Journal of the Mathematical Society of Japan. 68, 1, p. 1-30 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Functional Calculus
Orlicz Spaces
Hardy Space
Operator
Estimate

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

Chen, P., Duong, X. T., Li, J., Ward, L. A. & Yan, L., 1 Apr 2016, In : Mathematische Zeitschrift. 282, 3-4, p. 1033-1065 33 p.

Research output: Contribution to journalArticleResearchpeer-review

Space of Homogeneous Type
Product Space
Heat Kernel
Hardy Space
Operator

Regularity estimates for higher order elliptic systems on Reifenberg flat domains

Bui, T. A., Duong, X. T. & Le, X. T., 15 Nov 2016, In : Journal of Differential Equations. 261, 10, p. 5637-5669 33 p.

Research output: Contribution to journalArticleResearchpeer-review

Lorentz Spaces
Elliptic Systems
Regularity
Higher Order
Morrey Space

Weighted norm inequalities for spectral multipliers on graphs

Bui, T. A. & Duong, X. T., 1 Feb 2016, In : Potential Analysis. 44, 2, p. 263-293 31 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Norm Inequalities
Norm Inequality
Lp-norm
Multiplier
Discrete Laplacian
2015

Besov and Triebel-Lizorkin spaces associated to Hermite operators

Bui, T. A. & Duong, X. T., 2015, In : Journal of Fourier Analysis and Applications. 21, 2, p. 405-448 44 p.

Research output: Contribution to journalArticleResearchpeer-review

Triebel-Lizorkin Space
Hermite
Operator
Multiplier
Euclidean space
2014

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

Bui, T. A. & Duong, X. T., 2014, In : Transactions of the American Mathematical Society. 366, 7, p. 3451-3485 35 p.

Research output: Contribution to journalArticleResearchpeer-review

Discrete Laplacian
Singular Integrals
Hardy Space
Boundedness
Square Functions

On characterization of Poisson integrals of Schrödinger operators with BMO traces

Duong, X. T., Yan, L. & Zhang, C., 15 Feb 2014, In : Journal of Functional Analysis. 266, 4, p. 2053-2085 33 p.

Research output: Contribution to journalArticleResearchpeer-review

BMO Space
Poisson Integral
Schrödinger Operator
Trace
Harmonic Functions

Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels

Bui, T. A. & Duong, X. T., 2014, In : Journal of Geometric Analysis. 24, 3, p. 1368-1397 30 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Norm Inequalities
Singular Integral Operator
Commutator
Green's Operator
kernel
2013

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

Bui, A. & Duong, X. T., 2013, In : Advances in Differential Equations. 18, 5-6, p. 459-494 36 p.

Research output: Contribution to journalArticleResearchpeer-review

Electric commutators
Riesz Transform
Singular Integrals
Hardy Space
Commutator

Hardy spaces, regularized BMO spaces and the boundedness of calderón-zygmund operators on non-homogeneous spaces

Bui, T. A. & Duong, X. T., Apr 2013, In : Journal of Geometric Analysis. 23, 2, p. 895-932 38 p.

Research output: Contribution to journalArticleResearchpeer-review

BMO Space
Calderón-Zygmund Operator
Hardy Space
Boundedness
Non-doubling Measure

Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems

Duong, X. T., Hofmann, S., Mitrea, D., Mitrea, M. & Yan, L., 2013, In : Revista Matematica Iberoamericana. 29, 1, p. 183-236 54 p.

Research output: Contribution to journalArticleResearchpeer-review

Neumann Problem
Hardy Space
Dirichlet Problem
Green's Operator
Regularity

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

Duong, X. T. & Li, J., 15 Mar 2013, In : Journal of Functional Analysis. 264, 6, p. 1409-1437 29 p.

Research output: Contribution to journalArticleResearchpeer-review

Functional Calculus
Hardy Space
Heat Semigroup
Space of Homogeneous Type
Riesz Transform

Lp-bounds for Stein's square functions associated to operators and applications to spectral multipliers

Chen, P., Duong, X. T. & Yan, L., 2013, In : Journal of the Mathematical Society of Japan. 65, 2, p. 389-409 21 p.

Research output: Contribution to journalArticleResearchpeer-review

Square Functions
Multiplier
Bochner-Riesz Means
Non-negative
Holomorphic Semigroups

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

Bui, T. A. & Duong, X. T., Jan 2013, In : Bulletin des Sciences Mathematiques. 137, 1, p. 63-75 13 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Norm Inequalities
Multilinear Operators
Fourier multipliers
Weighted Lebesgue Spaces
Lebesgue Space
2012

Calderón reproducing formulas and new Besov spaces associated with operators

Bui, H. Q., Duong, X. T. & Yan, L., 1 Mar 2012, In : Advances in Mathematics. 229, 4, p. 2449-2502 54 p.

Research output: Contribution to journalArticleResearchpeer-review

Calderón Reproducing Formula
Besov Spaces
Operator
Euclidean space
Upper bound
2011

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

Duong, X. T. & Yan, L., 2011, In : Journal of the Mathematical Society of Japan. 63, 1, p. 295-319 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Hardy Space
Self-adjoint Operator
Multiplier
Non-negative
Doubling Measure

Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers

Duong, X. T., Sikora, A. & Yan, L., 28 Feb 2011, In : Journal of Functional Analysis. 260, 4, p. 1106-1131 26 p.

Research output: Contribution to journalArticleResearchpeer-review

Weighted Norm Inequalities
Multiplier
Non-negative
Holomorphic Semigroups
kernel
2010

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

Duong, X. T., Grafakos, L. & Yan, L., Apr 2010, In : Transactions of the American Mathematical Society. 362, 4, p. 2089-2113 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
Multilinear Operators
Electric commutators
Singular Integrals
Commutator
kernel

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

Anh, B. T. & Duong, X. T., Nov 2010, In : Journal of Mathematical Analysis and Applications. 371, 1, p. 80-94 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Electric commutators
Singular Integrals
Commutator
Multilinear Operators
kernel
2009

Maximal operator for multilinear singular integrals with non-smooth kernels

Duong, X. T., Gong, R., Grafakos, L., Li, J. & Yan, L., 2009, In : Indiana University Mathematics Journal. 58, 6, p. 2517-2541 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Maximal Operator
Singular Integrals
Kernel Operator
kernel
Maximal Order
2008

Commutators of Riesz transforms of magnetic Schrödinger operators

Duong, X. T. & Yan, L., Oct 2008, In : Manuscripta Mathematica. 127, 2, p. 219-234 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Magnetic Schrödinger Operator
Riesz Transform
Commutator
Operator

Comparison of the classical BMO with the BMO spaces associated with operators and applications

Deng, D., Duong, X. T., Sikora, A. & Yan, L., 2008, In : Revista Matematica Iberoamericana. 24, 1, p. 267-296 30 p.

Research output: Contribution to journalArticleResearchpeer-review

BMO Space
Operator
Fractional Powers
Self-adjoint Operator
Multiplier

Functions of vanishing mean oscillation associated with operators and applications

Deng, D., Duong, X. T., Song, L., Tan, C. & Yan, L., Dec 2008, In : Michigan Mathematical Journal. 56, 3, p. 529-550 22 p.

Research output: Contribution to journalArticleResearchpeer-review

2007

Old and new Morrey spaces with heat Kernel bounds

Duong, X. T., Xiao, J. & Yan, L., Feb 2007, In : Journal of Fourier Analysis and Applications. 13, 1, p. 87-111 25 p.

Research output: Contribution to journalArticleResearchpeer-review

Morrey Space
Heat Kernel
Analytic Semigroup
Infinitesimal Generator
Euclidean