Remarks on Sobolev-Morrey-Campanato spaces defined on $C^{0,\gamma}$ domains
Functional Analysis
2020-02-03 v1
Abstract
We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class , and we present more recent results concerning the extension of functions from Sobolev-Morrey spaces defined on those domains. As a corollary of the extension theorem we obtain an embedding theorem for Sobolev-Morrey spaces on arbitrary domains.
Keywords
Cite
@article{arxiv.2001.11916,
title = {Remarks on Sobolev-Morrey-Campanato spaces defined on $C^{0,\gamma}$ domains},
author = {Pier Domenico Lamberti and Vincenzo Vespri},
journal= {arXiv preprint arXiv:2001.11916},
year = {2020}
}