Let , be analytic functions defined on β«,ήβ¬ such that β«ήβ¬ : β«.ήβ¬ The operator Ε½ . given by f Β¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ε½ . ity of weighted composition operators on Hardy spaces H 1
Weighted composition operators on growth spaces
β Scribed by E. S. Dubtsov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2009
- Tongue
- English
- Weight
- 191 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Providence) concerning bounded composition operators on weighted Bergman spaces of the unit disk. The main result is the following: if G i = e -h i for i = 1 2 are weight functions in a certain range for which h 1 r /h 2 r β β as r β 1 then there is a self-map of the unit disk such that the induced
## 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