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math.OA2026
Campanato spaces via quantum semigroups
Guixiang Hong, Yuanyuan Jing, Ping Li
In this paper, we continue to investigate Campanato spaces via semigroups on von Neumann algebras. One of the main results is their coincidence with Lipschitz spaces for {\it all}…
math.OA2025
Noncommutative ergodic theorems for action of semisimple Lie groups
Guixiang hong, Samya Kumar Ray
Let be a connected simple Lie group of real rank one and finite center, and let 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 . Let be a Markov semigroup, $\mat…