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26 April 2024

» arxiv » 1811.8137

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Martingale approach to Sobolev embedding theorems
Rami Ayoush ; Dmitriy Stolyarov ; Michal Wojciechowski ;
Date:	20 Nov 2018
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.
Source:	arXiv, 1811.8137
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