## 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 o
Decomposition Methods for Function Spaces of B Type and F Type
✍ Scribed by Bernd Stöckert; Hans Triebel
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 913 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Decomposition Methods for Function Spaces of Bp,q Type and R;,q Type Dedicated to the 30th Anniversary of the G.D.R.
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## Abstract In this paper, we define an appropriate version of Morrey spaces for spaces of homogeneous type. As our main result, we give a sufficient condition for an operator to be bounded on the version of Morrey spaces (cf. Theorem 3.1 and Corollary 3.5). Moreover, using thin result, we prove Mo