2 papers
math.PR2022
Limit case of Hardy-Littlewood-Sobolev inequality for martingales
Dmitry Yarcev
We provide a version of the Stein-Weiss inequality for arbitrary martingales.
math.PR2020
Fractional integration for irregular martingales
Dmitriy Stolyarov, Dmitry Yarcev
We suggest two versions of the Hardy--Littlewood--Sobolev inequality for discrete time martingales. In one version, the fractional integration operator is a martingale transform, h…