Atomic decompositions of weak Orlicz-Lorentz martingale spaces

摘要

In this paper we establish atomic decompositions of some weak Orlicz-Lorentz martingale spaces which are generalization of Orlicz martingale spaces and of Lorentz martingale spaces. With the help of atomic decompositions, the boundedness of sublinear operators is obtained. MSC:60G46, 47A30.