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Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces on domains

✍ Scribed by Yoshihiro Sawano

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
294 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in R^n^. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator. Not only to domains in R^n^ we extend our definition of function spaces to compact oriented Riemannian manifolds. Among the properties above, the result for the trace operator is in particular interesting, which reflects the property of the parameters p, q in the Morrey space ℳ︁^p^~q~ (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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