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Traces of vector-valued Sobolev spaces

✍ Scribed by Benjamin Scharf; Hans-Jürgen Schmeißer; Winfried Sickel

Publisher: John Wiley and Sons
Year: 2012
Tongue: English
Weight: 318 KB
Volume: 285
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.201100011

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✦ Synopsis

Abstract

Dedicated to Professor V. I. Burenkov on the occasion of his 70th birthday We characterize the traces of vector‐valued Besov and Lizorkin‐Triebel spaces. Therefrom we derive the corresponding assertions for the vector‐valued Sobolev spaces \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$W^m_{p}({\mathbf R}^n,E),$\end{document}. Here we do not assume the UMD property for the Banach space E.

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