Noncommutative weak Orlicz spaces and martingale inequalities
Functional Analysis
2011-08-16 v2
Abstract
This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. In particular, we prove the weak type -moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type -moment noncommutative Khintchine's inequality for Rademacher's random variables.
Keywords
Cite
@article{arxiv.1006.0091,
title = {Noncommutative weak Orlicz spaces and martingale inequalities},
author = {Turdebek N. Bekjan and Zeqian Chen and Peide Liu and Yong Jiao},
journal= {arXiv preprint arXiv:1006.0091},
year = {2011}
}
Comments
17 pages. One author (Y.J) is added