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arXiv · 0906.4434

A noncommutative Davis' decomposition for martingales

Mathilde Perrin
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Abstract

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<p<2.

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Mathilde Perrin. 2009-06-24. A noncommutative Davis' decomposition for martingales. https://doi.org/10.1112/jlms%2Fjdp045

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