Peng Chen

activity

20122021

most citedAlmost everywhere convergence of Bochner-Riesz means for the Hermite operators

3 citations · 4 across the 8 of their papers we have counts for

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6 papers · 1 filter

math.CA2021

Almost everywhere convergence of spectral sums for self-adjoint operators

Peng Chen, Xuan Thinh Duong, Lixin Yan

Let $L$ be a non-negative self-adjoint operator acting on the space $L^{2} (X)$ , where $X$ is a metric measure space. Let $L = \int_{0}^{\infty} λ d E_{L} (λ)$ be the spectral resolution…

math.CA2020★ 3 cited

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

Peng Chen, Xuan Thinh Duong, Danqing He +2

Let $H = - Δ + ∣ x ∣^{2}$ be the Hermite operator in $R^{n}$ . In this paper we study almost everywhere convergence of the Bochner-Riesz means associated with $H$ which is defined…

math.CA2018

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

Peng Chen, Ji Li, Lesley A. Ward +1

We obtain weak-type $(p, p)$ endpoint bounds for Bochner-Riesz means for the Hermite operator $H = - Δ + ∣ x ∣^{2}$ in $R^{n}, n \geq 2$ and for other related operators for $1\leq p\…

math.CA2018

Compactness of Riesz transform commutator on stratified Lie groups

Peng Chen, Xuan Thinh Duong, Ji Li +1

Let $G$ be a stratified Lie group and $\{\X_j\}_{1 \leq j \leq n}$ a basis for the left-invariant vector fields of degree one on $G$ . Let $Δ= \sum_{j = 1}^n \X_j^…

math.CA2017

Characterization of compactness of commutators of bilinear singular integral operators

Lucas Chaffee, Peng Chen, Yanchang Han +2

The commutators of bilinear Calderón-Zygmund operators and point-wise multiplication with a symbol in $c m o$ are bilinear compact operators on product of Lebesgue spaces. This work…

math.CA2017

Weighted inequalities of bilinear rough singular integrals

Peng Chen, Danqing He, Liang Song

We establish a quantitative weighted inequality for the bilinear rough singular integral, where the bound is controlled by the cube of the weight constant.