A noncommutative Davis' decomposition for martingales
Operator Algebras
2014-02-26 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.0906.4434,
title = {A noncommutative Davis' decomposition for martingales},
author = {Mathilde Perrin},
journal= {arXiv preprint arXiv:0906.4434},
year = {2014}
}
Comments
To be published in Journal of London Math. Soc