On the boundedness of the Hardy operator in the weighted space BMO
โ Scribed by Pham Tien Dung
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 177 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0133-3852
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๐ SIMILAR VOLUMES
## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__ฮฒ__). For any bounded weight sequence __ฮฒ__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is wellโknown for the classical space __H__^2^. In the case
We find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as a simple consequence a generalization of the classical embeddings \(L^{r, 1} \subset \cdots \subset L^{p} \subset \cdots \subset L^{p . r}\) and a new definitio