陈鹏

2025

多专业合班下“随机分析”教学的探索与实践

《教育教学论坛》

2026

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

arXiv preprint

2026

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

arXiv preprint

2024

The Spherical Maximal Operators on Hyperbolic Spaces

arXiv preprint

DOI

2024

On maximal functions generated by Hörmander-type spectral multipliers

arXiv preprint

2024

On pointwise convergence of cone multipliers

arXiv preprint

2024

Quantitative diffusion approximation for the Neutral $r$-Alleles Wright-Fisher Model with Mutations

arXiv preprint

2023

Approximation of the invariant measure for stable SDE by the Euler-Maruyama scheme with decreasing step-sizes

arXiv preprint

2023

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

arXiv preprint

2022

Compactness of the Bloom sparse operators and applications

arXiv preprint

2022

Approximation of the invariant measure of stable SDEs by an Euler--Maruyama scheme

arXiv preprint

2022

The commutators of Bochner-Riesz Operators for Hermite operator

arXiv preprint

2021

Almost everywhere convergence of spectral sums for self-adjoint operators

arXiv preprint

2021

Flag Hardy space theory on Heisenberg groups and applications

arXiv preprint

2020

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

arXiv preprint

2020

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

arXiv preprint

2020

A generalized Catoni's ${\rm M}$-estimator under finite {$α$-th moment assumption} with $α\in (1,2)$

arXiv preprint

2020

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

arXiv preprint

2019

Sharp endpoint estimates for Schrödinger groups on Hardy spaces

arXiv preprint

2019

Sharp spectral multipliers without semigroup framework and application to random walks

arXiv preprint

2019

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

arXiv preprint

2019

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

arXiv preprint

2018

Bounds on the maximal Bochner-Riesz means for elliptic operators

arXiv preprint

2018

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

arXiv preprint

2018

Compactness of Riesz transform commutator on stratified Lie groups

arXiv preprint

2017

Carleson measures, BMO spaces and balayages associated to Schrodinger operators

arXiv preprint

2017

Weighted inequalities of bilinear rough singular integrals

arXiv preprint

2017

Characterization of compactness of commutators of bilinear singular integral operators

arXiv preprint

2017

Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation

arXiv preprint

2016

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

arXiv preprint

2016

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

arXiv preprint

2015

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

arXiv preprint

2015

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

arXiv preprint

2014

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

arXiv preprint

2014

Riesz transforms on non-compact manifolds

arXiv preprint

2014

Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability

arXiv preprint

2012

Sharp spectral multipliers for a new class of Grushin type operators

arXiv preprint

2012

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

arXiv preprint

2012

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

arXiv preprint