Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains
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AbstractThe purpose of this paper is to develop a theory of the Besov‐Morrey spaces and the Triebel‐Lizorkin‐Morrey spaces on domains in Rn. We consider the pointwise multiplier operator, the trace operator, the extension operator and the diffeomorphism operator. Not only to domains in Rn 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 ℳ︁pq (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Kyoto University Japan
atomic decompositions, function spaces on domains, Besov spaces, Triebel-Lizorkin spaces, Morrey spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis
atomic decompositions, function spaces on domains, Besov spaces, Triebel-Lizorkin spaces, Morrey spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis
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