## Abstract In this paper, the authors discuss some basic properties of Morrey type Besov–Triebel spaces. The authors also give the boundedness of some operators which including pseudo‐differential operators of the Hörmander class Φ . (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Decomposition for Morrey type Besov–Triebel spaces
✍ Scribed by Henggeng Wang
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 167 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
In this paper, the author establishes the decomposition of Morrey type Besov–Triebel spaces in terms of atoms and molecules concentrated on dyadic cubes, which have the same smoothness and cancellation properties as those of the classical Besov–Triebel spaces. The results extend those of M. Frazier, B. Jawerth for Besov–Triebel spaces and those of A. L. Mazzucato for Besov–Morrey spaces (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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