Guixiang Hong

activity

20232026

collaborators

Showing 2024Show all

2 papers · 1 filter

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…

math.FA2024

Best constants in the vector-valued Littlewood-Paley-Stein theory

Guixiang Hong, Zhendong Xu, Hao Zhang

Let $L$ be a sectorial operator of type $α$ ( $0 \leq α < π /2$ ) on $L^{2} (R^{d})$ with the kernels of ${e^{- t L}}_{t > 0}$ satisfying certain size and regularity conditions. Defi…