Liang Song

Littlewood--Paley operators and semigroup maximal operators on CMO spaces associated to Sch\"odinger operators

Let $L=-\Delta+V$ be a Schr\"odinger operator on $\mathbb{R}^n$, where $\Delta$ is the Laplacian and $V$ satisfies the reverse H\"older inequality ${\rm RH}_q$ for some $q>n/2$. In this paper, we study the behavior of the Littlewood--Paley operators $s_L$ and $S_L$, as well as the semigroup maximal operator $T^*_L$, on...