## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__β__). For any bounded weight sequence __β__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case
Isometric composition operators on BMOA
✍ Scribed by Jussi Laitila
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 97 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We characterize and provide examples of the analytic self‐maps of the unit disc, which induce isometric com‐position operators on the space BMOA equipped with a Möbius invariant H^2^ norm (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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