Guixiang Hong

activity

20232025

collaborators

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math.OA2025

Noncommutative ergodic theorems for action of semisimple Lie groups

Guixiang hong, Samya Kumar Ray

Let $G$ be a connected simple Lie group of real rank one and finite center, and let $K$ be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…

math.OA2024

Campanato spaces via quantum Markov semigroups on finite von Neumann algebras

Guixiang Hong, Yuanyuan Jing

We study the Campanato spaces associated with quantum Markov semigroups on a finite von Neumann algebra $M$ . Let $T = (T_{t})_{t \geq 0}$ be a Markov semigroup, $\mat…