Parabolic Littlewood-Paley inequality for $\phi(-\Delta)$-type operators and applications to Stochastic integro-differential equations
Functional Analysis
2013-02-21 v1 Probability
Abstract
In this paper we prove a parabolic version of the Littlewood-Paley inequality for the operators of the type , where is a Bernstein function. As an application, we construct an -theory for the stochastic integro-differential equations of the type .
Keywords
Cite
@article{arxiv.1302.5053,
title = {Parabolic Littlewood-Paley inequality for $\phi(-\Delta)$-type operators and applications to Stochastic integro-differential equations},
author = {Ildoo Kim and Kyeong-Hun Kim and Panki Kim},
journal= {arXiv preprint arXiv:1302.5053},
year = {2013}
}