Peng Chen

activity

20122026

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

3 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

3 papers · 2 filters

math.AP2019

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

Peng Chen, Xuan Thinh Duong, Ji Li +2

Consider a non-doubling manifold with ends $M = R^{n} ♯ R^{m}$ where $R^{n} = R^{n} \times S^{m - n}$ for $m > n \geq 3$ . We say that a…

math.AP2019

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

Peng Chen, Xuan Thinh Duong, Ji Li +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 $n$ . Suppose that the heat kernel of $L$ satisfies a Ga…

math.AP2019

Sharp spectral multipliers without semigroup framework and application to random walks

Peng Chen, El Maati Ouhabaz, Adam Sikora +1

In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside…

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

Weak type (1,1) bounds for Schrödinger groups

Sharp spectral multipliers without semigroup framework and application to random walks

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