If \(\mathscr{H}\) is a Hilbert space of holomorphic functions on the unit ball \(B_{N}\) in \(\mathbf{C}^{N}\) and \(\varphi\) is a non-constant holomorphic map of the unit ball into itself, the composition operator \(C_{\varphi}\) is the operator on \(\mathscr{H}\) defined by \(C_{\varphi} f=f \ci
โฆ LIBER โฆ
The spectra of composition operators on Hp
โ Scribed by Herbert Kamowitz
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 903 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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## 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
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