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arXiv · 1408.4641

The predual and John-Nirenberg inequalities on generalized BMO martingale spaces

Yong Jiao·Anming Yang·Lian Wu·Rui Yi
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Abstract

In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces $H_{p,q}^s$ for $0<p\leq1, 1<q<\infty$. Moreover, by duality we obtain a John-Nirenberg theorem for the generalized BMO martingale spaces when the stochastic basis is regular. We also extend the boundedness of fractional integrals to martingale Hardy-Lorentz spaces.

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Yong Jiao, Anming Yang, Lian Wu, Rui Yi. 2014-08-20. The predual and John-Nirenberg inequalities on generalized BMO martingale spaces. https://arxiv.org/abs/1408.4641

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