On Stein's extension operator preserving Sobolev-Morrey spaces
Functional Analysis
2018-12-07 v1
Abstract
We prove that Stein's Extension Operator preserves Sobolev-Morrey spaces, that is spaces of functions with weak derivatives in Morrey spaces. The analysis concerns classical and generalized Morrey spaces on bounded and unbounded domains with Lipschitz boundaries in the n-dimensional Euclidean space.
Cite
@article{arxiv.1812.02267,
title = {On Stein's extension operator preserving Sobolev-Morrey spaces},
author = {Pier Domenico Lamberti and Ivan Yuri Violo},
journal= {arXiv preprint arXiv:1812.02267},
year = {2018}
}
Comments
to appear in Mathematische Nachrichten