## 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
A note on Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
✍ Scribed by Yoshihiro Sawano
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 301 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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)
## 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
## 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)