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 2025 · math.FAShow all

2 papers · 2 filters

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 Coxeter groups and groups acting on buildings

Proper cocycles, measure equivalence and Lp​-Fourier multipliers

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