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Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces

Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Nachrichten Wiley

Sharp conditions for the compactness of the Sobolev embedding on Musielak–Orlicz spaces

Mathematische Nachrichten , Volume 292 (2) – Feb 1, 2019

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References (24)

Publisher
Wiley
Copyright
"© 2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim"
ISSN
0025-584X
eISSN
1522-2616
DOI
10.1002/mana.201700462
Publisher site
See Article on Publisher Site

Abstract

We prove the compactness of the Sobolev embedding for Musielak–Orlicz spaces by way of simple conditions on the Matuszewska index of the underlying space. We provide counterexamples to show the sharpness of our conditions.

Journal

Mathematische NachrichtenWiley

Published: Feb 1, 2019

Keywords: ; ; ; ; ; ;

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