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

Authors :
Fanciullo, Maria Stella
Lamberti, Pier Domenico
Source :
Mathematische Nachrichten. Jan2017, Vol. 290 Issue 1, p37-49. 13p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0025584X
Volume :
290
Issue :
1
Database :
Academic Search Index
Journal :
Mathematische Nachrichten
Publication Type :
Academic Journal
Accession number :
120497528
Full Text :
https://doi.org/10.1002/mana.201500459