2 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 -spaces for $1<p<…
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 -spaces associated with Coxeter groups and groups acting on buildings. We establish new models for Hilbert…