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New John–Nirenberg inequalities for martingales

Author

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  • Yi, Rui
  • Wu, Lian
  • Jiao, Yong

Abstract

A new John–Nirenberg theorem for martingales is proved in this paper. That is, BMOE are all equivalent for any rearrangement invariant Banach function space E.

Suggested Citation

  • Yi, Rui & Wu, Lian & Jiao, Yong, 2014. "New John–Nirenberg inequalities for martingales," Statistics & Probability Letters, Elsevier, vol. 86(C), pages 68-73.
    • Handle: RePEc:eee:stapro:v:86:y:2014:i:c:p:68-73
    DOI: 10.1016/j.spl.2013.12.010
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    Cited by:

    1. Peng, Lihua & Li, Junping, 2015. "A generalization of Φ-moment martingale inequalities," Statistics & Probability Letters, Elsevier, vol. 102(C), pages 61-68.
    2. Liu, Kaituo & Zhou, Dejian & Peng, Lihua, 2017. "A weak type John–Nirenberg theorem for martingales," Statistics & Probability Letters, Elsevier, vol. 122(C), pages 190-197.

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