A noncommutative Davis' decomposition for martingales
arXiv:0906.4434 · doi:10.1112/jlms/jdp045
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.
To be published in Journal of London Math. Soc
Cited by in corpus (6)
- Harmonic analysis on quantum tori
- Calderón-Zygmund operators associated to matrix-valued kernels
- Square functions for noncommutative differentially subordinate martingales
- Algebraic Davis decomposition and asymmetric Doob inequalities
- Noncommutative Davis type decompositions and applications
- Large BMO spaces vs interpolation