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Traces of vector‐valued Sobolev spaces
Author(s) -
Scharf Benjamin,
Schmeißer HansJürgen,
Sickel Winfried
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100011
Subject(s) - sobolev space , mathematics , banach space , interpolation space , besov space , pure mathematics , space (punctuation) , property (philosophy) , mathematical analysis , functional analysis , computer science , biochemistry , chemistry , philosophy , epistemology , gene , operating system
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 .