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arXiv · 1304.3910

Weak Orlicz-Hardy Martingale Spaces

Yong Jiao·Lian Wu
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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.

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Yong Jiao, Lian Wu. 2013-04-14. Weak Orlicz-Hardy Martingale Spaces. https://arxiv.org/abs/1304.3910

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