An extension of the classical John-Nirenberg inequality of martingales

Changzheng Yao; Congbian Ma; Changzheng Yao; Congbian Ma

doi:10.3934/math.2023259

AIMS Mathematics

2023, Volume 8, Issue 3: 5175-5180. doi: 10.3934/math.2023259

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Research article

An extension of the classical John-Nirenberg inequality of martingales

Changzheng Yao ,
Congbian Ma ^,

School of Mathematics and Statistics, Xinxiang University, Xinxiang 453000, China

Received: 19 October 2022 Revised: 23 November 2022 Accepted: 29 November 2022 Published: 13 December 2022
MSC : 60G42, 60G46

In this paper, we prove the John-Nirenberg theorem of the $ bmo_p $ martingale spaces for the full range $ 0 < p < \infty $. We also consider the John-Nirenberg inequality on symmetric spaces of martingales.
- martingale,
- interpolation,
- Hardy spaces,
- symmetric spaces,
- inequality
Citation: Changzheng Yao, Congbian Ma. An extension of the classical John-Nirenberg inequality of martingales[J]. AIMS Mathematics, 2023, 8(3): 5175-5180. doi: 10.3934/math.2023259

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Abstract

In this paper, we prove the John-Nirenberg theorem of the $ bmo_p $ martingale spaces for the full range $ 0 < p < \infty $. We also consider the John-Nirenberg inequality on symmetric spaces of martingales.

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