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

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.

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Bibliographic Details
Published in:arXiv.org 2016-03
Main Authors: Fanciullo, Maria Stella, Pier Domenico Lamberti
Format: Article
Language:English
Subjects:
Euclidean geometry
Euclidean space
Sobolev space
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422