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 $\mathcal{M}$. Let $\mathcal{T}=(T_t{)}_{t\ge 0}$ be a Markov semigroup, $\mat…