Real interpolation of martingale Orlicz Hardy spaces and BMO spaces

Journal of Mathematical Analysis and Applications（2022）

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摘要

In this article, the authors prove that the real interpolation spaces between martingale Orlicz Hardy spaces and martingale BMO spaces are martingale Orlicz–Lorentz Hardy spaces. Using sharp maximal functions, the authors also establish the characterizations of martingale Orlicz Hardy spaces.

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关键词

Real interpolation,Orlicz space,Martingale Hardy space,BMO,Sharp maximal function

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