Trace inequalities for Sobolev martingales
Probability
2022-11-28 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
We study limiting trace inequalities in the style of Maz'ya and Meyers--Ziemer for Sobolev martingales. We develop the Bellman function approach to such estimates, which allows to provide sufficient and almost necessary conditions on the martingale space and the martingale transform under which the trace inequalities hold true
Cite
@article{arxiv.2211.13456,
title = {Trace inequalities for Sobolev martingales},
author = {Dmitriy Stolyarov},
journal= {arXiv preprint arXiv:2211.13456},
year = {2022}
}
Comments
26 pages