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Research Article | Open Access

An extension of the classical John-Nirenberg inequality of martingales

Changzheng Yao, Congbian Ma( )
School of Mathematics and Statistics, Xinxiang University, Xinxiang 453000, China
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Abstract

In this paper, we prove the John-Nirenberg theorem of the b m o p martingale spaces for the full range 0 < p < ∞. We also consider the John-Nirenberg inequality on symmetric spaces of martingales.

Keywords

martingaleinterpolationHardy spacessymmetric spacesinequality
CLC number: 60G42, 60G46

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 5175-5180
DOI: 10.3934/math.2023259

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Yao C, Ma C. An extension of the classical John-Nirenberg inequality of martingales. AIMS Mathematics, 2023, 8(3): 5175-5180. https://doi.org/10.3934/math.2023259

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Received: 19 October 2022
Revised: 23 November 2022
Accepted: 29 November 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)