This is an announcement for the paper "A noncommutative Davis' decomposition for martingales" by Mathilde Perrin.

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.

Archive classification: math.OA math.FA

Mathematics Subject Classification: 46L53, 46L52 (Primary) 46L51, 60G42 (Secondary)

Remarks: To be published in Journal of London Math. Soc

The source file(s), Nc_davis2.tex: 58260 bytes, is(are) stored in gzipped form as 0906.4434.gz with size 15kb. The corresponding postcript file has gzipped size 118kb.

Submitted from: mathilde.perrin@univ-fcomte.fr

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