Parabolic Littlewood-Paley inequality for $\varphi (-\Delta )$-type operators and applications to Stochastic integro-differential equations

Ildoo Kim, Kyeong-Hun Kim, Panki Kim

In this paper we prove a parabolic version of the Littlewood-Paley inequality for the operators of the type $\varphi (-\Delta )$, where $\varphi$ is a Bernstein function. As an application, we constr…