Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales
Operator Algebras
2010-01-06 v2 Functional Analysis
Abstract
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 martingales h_p and bmo form interpolation scales with respect to both complex and real interpolations.
Keywords
Cite
@article{arxiv.0906.4437,
title = {Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales},
author = {Turdebek N. Bekjan and Zeqian Chen and Mathilde Perrin and Zhi Yin},
journal= {arXiv preprint arXiv:0906.4437},
year = {2010}
}