Affiliation:
1. School of Mathematics and Statistics , HNP-LAMA , Central South University , Changsha 410075 , P. R. China
Abstract
Abstract
In this paper, the authors introduce weak martingale Hardy-type spaces associated with a quasi-Banach function lattice. The authors then establish the atomic characterizations of these weak martingale Hardy-type spaces. As applications, the authors give the sufficient conditions for the boundedness of σ-sublinear operators from weak martingale Hardy-type spaces to a quasi-Banach function lattice. Furthermore, the authors clarify the relation among different weak martingale Hardy-type spaces in the framework of a rearrangement-invariant quasi-Banach function space. Finally, the authors apply these results to the weighted Lorentz space and the generalized grand Lebesgue space.
Funder
China Postdoctoral Science Foundation
Subject
Applied Mathematics,General Mathematics
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