Xiaoge Lu

collaborators

3 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.DG2026

Homogeneous hypersurfaces of the four-dimensional Thurston geometries $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $Nil^{4}$

Xiaoge Lu, Zeke Yao, Xi Zhang

In this paper, we focus on the four-dimensional Thurston geometries whose isometry groups are four-dimensional, namely $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $\mathrm{Nil}^…

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…

Hilbert transforms on graph products of finite von Neumann algebras

Homogeneous hypersurfaces of the four-dimensional Thurston geometries Sol14​, Solm,n4​ and Nil4

Hilbert transforms on Coxeter groups and groups acting on buildings

Homogeneous hypersurfaces of the four-dimensional Thurston geometries $Sol_{1}^{4}$ , $Sol_{m, n}^{4}$ and $Nil^{4}$