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math.OA2009★ 27 cited
A noncommutative Davis' decomposition for martingales
Mathilde Perrin
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 non…
math.OA2009
Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin +1
We prove that atomic decomposition for the Hardy spaces h_1 and H_1 is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative m…