Parabolic Littlewood-Paley inequality for ϕ(-Δ)-type operators and applications to Stochastic integro-differential equations

الأصل · EN

In this paper we prove a parabolic version of the Littlewood-Paley inequality for the operators of the type ϕ(-Δ), where ϕ is a Bernstein function. As an application, we construct an Lₚ-theory for the stochastic integro-differential equations of the type du=(-ϕ(-Δ)u+f)dt +gdWₜ.