The molecular characterization of weighted Hardy spaces
β Scribed by Xingmin Li; Lizhong Peng
- Publisher
- SP Science China Press
- Year
- 2001
- Tongue
- English
- Weight
- 388 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1674-7283
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π SIMILAR VOLUMES
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
## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__Ξ²__). For any bounded weight sequence __Ξ²__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is wellβknown for the classical space __H__^2^. In the case
We find conditions on the weight w in order to characterize functions in weighted Besov spaces BP,.,; in terms of differences d,f. Remark. Note that in the previous theorem one of the embeddings could have been proved under weaker assumptions. In fact, if 2