English

On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains

Functional Analysis 2016-03-09 v1

Abstract

We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space.

Keywords

Cite

@article{arxiv.1603.02534,
  title  = {On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains},
  author = {Maria Stella Fanciullo and Pier Domenico Lamberti},
  journal= {arXiv preprint arXiv:1603.02534},
  year   = {2016}
}

Comments

To appear in Mathematische Nachrichten