Runlian Xia

collaborators

4 papers

math.OA2026

Hilbert transforms on graph products of finite von Neumann algebras

Xiao-Qi Lu, Runlian Xia

We study Hilbert transforms on graph products of finite von Neumann algebras, with particular interests on their boundedness on the associated noncommutative $L_{p}$ -spaces for $1<p<…

math.DS2026

Ergodic Average Dominance for Unimodular Amenable Groups

Ujan Chakraborty, Runlian Xia, Joachim Zacharias

In this paper we show that the ergodic averages of the action of any unimodular amenable group along certain FÃ¸lner sequences can be dominated by the CesÃ ro means of a suitably c…

math.FA2025

Hilbert transforms on Coxeter groups and groups acting on buildings

Xiao-Qi Lu, Runlian Xia

In this paper, we study Hilbert transforms and their boundedness on $L_{p}$ -spaces associated with Coxeter groups and groups acting on buildings. We establish new models for Hilbert…

math.FA2025

Proper cocycles, measure equivalence and $L_{p}$ -Fourier multipliers

Simeng Wang, Runlian Xia, Gan Yao

We develop a new transference method for completely bounded $L_{p}$ -Fourier multipliers via proper cocycles arising from probability measure-preserving group actions. This method ext…

Hilbert transforms on graph products of finite von Neumann algebras

Ergodic Average Dominance for Unimodular Amenable Groups

Hilbert transforms on Coxeter groups and groups acting on buildings

Proper cocycles, measure equivalence and Lp​-Fourier multipliers

Proper cocycles, measure equivalence and $L_{p}$ -Fourier multipliers