Traces of Sobolev functions and higher integrability
Functional Analysis
2026-02-10 v1
Abstract
We give a sharp characterization of how additional integrability in the interior improves the integrability of boundary traces of -Sobolev functions. The optimality of our results relies on a novel nonlinear extension or lifting operator.
Cite
@article{arxiv.2602.07450,
title = {Traces of Sobolev functions and higher integrability},
author = {Robert Denk and Franz Gmeineder and Paul Stephan},
journal= {arXiv preprint arXiv:2602.07450},
year = {2026}
}
Comments
20 pages, 2 figures. Dedicated to Hans Triebel on the occasion of his 90th birthday