Lixin Yan

activity

20062026

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

11 citations · 69 across the 51 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020

A sharp regularity estimate for the Schrödinger propagator on the sphere

Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1

Let $Δ_{S^{n}}$ denote the Laplace-Beltrami operator on the $n$ -dimensional unit sphere $S^{n}$ . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…

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.AP2020★ 1 cited

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

Peng Chen, Xuan Thinh Duong, Zhijie Fan +2

Let $L$ be a non-negative self-adjoint operator acting on $L^{2} (X)$ where $X$ is a space of homogeneous type with a dimension $n$ . In this paper, we study sharp endpoint $L^{p}$ -Sobol…

A sharp regularity estimate for the Schrödinger propagator on the sphere

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

The Schrödinger equation in Lp spaces for operators with heat kernel satisfying Poisson type bounds

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