Peng Chen

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.

Compactness of the Bloom sparse operators and applications

Manasa N. Vempati, Peng Chen, Ji Li, 2022, 2204.11990.

Bochner-Riesz profile of anharmonic oscillator ${\mathcal L}=-\frac{d^2}{dx^2}+|x|$

Adam S. Sikora, W. Hebisch, A. Sikora, 2014, 1408.1259.

Weighted restriction type estimates for Grushin operators and application to spectral multipliers and Bochner–Riesz summability

E. Ouhabaz, Peng Chen, 2015, Mathematische Zeitschrift.

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Adam S. Sikora, A. Sikora, Peng Chen, 2013, Journal of Fourier Analysis and Applications.

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.

Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces

Lixin Yan, A. Sikora, Peng Chen, 2019, Mathematische Zeitschrift.

On Some Fourier Multipliers for H p ( R n ) with Restricted Smoothness Conditions

Peng Chen, Q. Zheng, Jingren Qiang, 2019 .

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.

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

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

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Adam S. Sikora, Lixin Yan, A. Sikora, 2016, Journal d'Analyse Mathématique.

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.

Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means

Adam S. Sikora, Lixin Yan, A. Sikora, 2012, 1202.4052.

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.

BMO from dyadic BMO via expectations on product spaces of homogeneous type

Lesley A. Ward, Peng Chen, Ji Li, 2013 .

Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in $$\mathbb {C}^{2n}$$ C

Guorong Hu, Ji Li, Peng Chen, 2020, Mathematische Zeitschrift.

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.

Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator

Lesley A. Ward, Lixin Yan, Peng Chen, 2018, Comptes Rendus. Mathématique.

Bounds on the maximal Bochner-Riesz means for elliptic operators

Adam S. Sikora, Lixin Yan, A. Sikora, 2018, Transactions of the American Mathematical Society.

Carleson measures, BMO spaces and balayages associated to Schrödinger operators

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

Characterization of compactness of commutators of bilinear singular integral operators

Lesley A. Ward, Peng Chen, Yanchang Han, 2017, Proceedings of the American Mathematical Society.

Positive solutions for Choquard equation in exterior domains

Peng Chen, Xiaochun Liu, 2021, Communications on Pure & Applied Analysis.

Ground states for Kirchhoff equation with Hartree-type nonlinearities

Peng Chen, Xiaochun Liu, 2019, Journal of Mathematical Analysis and Applications.

Ground states of linearly coupled systems of Choquard type

Xiaochun Liu, Peng Chen, Peng Chen, 2018, Appl. Math. Lett..

Sharp endpoint estimates for Schrödinger groups on Hardy spaces

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

Bochner–Riesz profile of anharmonic oscillator L=−d2dx2+|x|

Adam S. Sikora, W. Hebisch, A. Sikora, 2016 .

Weighted restriction type estimates for Grushin operators and application to spectral multipliers and Bochner–Riesz summability

E. Ouhabaz, Peng Chen, 2014, 1406.4025.

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Adam S. Sikora, A. Sikora, Peng Chen, 2012, 1210.0322.

Compactness of Riesz transform commutator on stratified Lie groups

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

Positive solutions for Kirchhoff equation in exterior domains

Peng Chen, Xiaochun Liu, Peng Chen, 2021 .

Spectral multipliers without semigroup framework and application to random walks

Lixin Yan, A. Sikora, E. Ouhabaz, 2019, Journal de Mathématiques Pures et Appliquées.

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

Peng Chen, 2012, 1211.1084.

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

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

Riesz transforms on non-compact manifolds

E. Ouhabaz, Peng Chen, Jocelyn Magniez, 2014, 1411.0137.

The Hodge–de Rham Laplacian and Lp-boundedness of Riesz transforms on non-compact manifolds

E. Ouhabaz, Peng Chen, Jocelyn Magniez, 2015 .