Atomic decompositions of Banach lattice-valued martingales

作者:Zhang, Xueying*; Zhang, Chuanzhou
来源:Statistics & Probability Letters, 2012, 82(3): 664-671.
DOI:10.1016/j.spl.2011.12.003

摘要

In this paper, atomic decompositions of Banach lattice-valued martingales are given. We discuss the relation between the LERMT property and atomic decompositions. With the help of atomic decompositions, the relation of the martingale spaces is investigated.