## 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 i
Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures
✍ Scribed by Yoshihiro Sawano; Hitoshi Tanaka
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 252 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We define Morrey type Besov‐Triebel spaces with the underlying measure non‐doubling. After defining the function spaces, we investigate boundedness property of some class of the singular integral operators (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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