Runlian Xia

activity

20152026

most citedOperator-valued local Hardy spaces

3 citations · 6 across the 10 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.DS2025

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 Følner sequences can be dominated by the Cesàro means of a suitably con…

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…

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