Weak Orlicz-Hardy Martingale Spaces
Functional Analysis
2013-04-16 v1 Probability
Abstract
In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient condition for a sublinear operator defined on the weak Orlicz-Hardy martingale spaces to be bounded is given. Further, we investigate the duality of weak Orlicz-Hardy martingale spaces and obtain a new John-Nirenberg type inequality when the stochastic basis is regular. These results can be regarded as weak versions of the Orlicz-Hardy martingale spaces due to Miyamoto, Nakai and Sadasue.
Keywords
Cite
@article{arxiv.1304.3910,
title = {Weak Orlicz-Hardy Martingale Spaces},
author = {Yong Jiao and Lian Wu},
journal= {arXiv preprint arXiv:1304.3910},
year = {2013}
}
Comments
26 pages