Martingale approach to Sobolev embedding theorems
Classical Analysis and ODEs
2018-11-21 v1 Probability
Abstract
We prove a martingale analog of van Schaftingen's theorem and give sharp estimates on the lower Hausdorff dimension of measures in martingale shift invariant spaces. We also provide martingale analogs of trace theorems for Sobolev functions.
Cite
@article{arxiv.1811.08137,
title = {Martingale approach to Sobolev embedding theorems},
author = {Rami Ayoush and Dmitriy Stolyarov and Michal Wojciechowski},
journal= {arXiv preprint arXiv:1811.08137},
year = {2018}
}
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21 page