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
β¦ LIBER β¦
Spectra of composition operators on lummer-hardy spaces
β Scribed by Yuan Jinyong
- Book ID
- 110564701
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1994
- Tongue
- English
- Weight
- 260 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1439-7617
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## 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