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Composition Operators and Vector-valued BMOA

✍ Scribed by Jussi Laitila

Publisher: SP Birkhäuser Verlag Basel
Year: 2007
Tongue: English
Weight: 280 KB
Volume: 58
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-007-1503-3

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📜 SIMILAR VOLUMES

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## 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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We study weighted inequalities for vector valued extensions of the conditioned square function operator and of the maximal operators of matrix type in the case of regular martingales. As applications we obtain weighted inequalities for vectorvalued extensions of the Hardy᎐Littlewood maximal operator