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A noncommutative Davis' decomposition for martingales

We prove an analogue of the classical Davis' decomposition for martingales in noncommutative L_p-spaces, involving the square functions. We also determine the dual space of the noncommutative conditioned Hardy space \h_1. We further extend this latter result to the case 1

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Bibliographic Details
Published in:arXiv.org 2009-06
Main Author: Perrin, Mathilde
Format: Article
Language:English
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Online Access:Get full text
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Description
Summary:We prove an analogue of the classical Davis' decomposition for martingales in noncommutative L_p-spaces, involving the square functions. We also determine the dual space of the noncommutative conditioned Hardy space \h_1. We further extend this latter result to the case 1
ISSN:2331-8422
DOI:10.48550/arxiv.0906.4434