An extension of the classical John-Nirenberg inequality of martingales

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

Bibliographic Details
Main Authors: Changzheng Yao, Congbian Ma
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023259?viewType=HTML
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author Changzheng Yao
Congbian Ma
author_facet Changzheng Yao
Congbian Ma
author_sort Changzheng Yao
collection DOAJ
description 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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spelling doaj.art-1d77f834184b4022a71157a5d5356b9f2023-01-28T01:13:19ZengAIMS PressAIMS Mathematics2473-69882023-01-01835175518010.3934/math.2023259An extension of the classical John-Nirenberg inequality of martingalesChangzheng Yao0Congbian Ma1School of Mathematics and Statistics, Xinxiang University, Xinxiang 453000, ChinaSchool of Mathematics and Statistics, Xinxiang University, Xinxiang 453000, ChinaIn 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 martingaleshttps://www.aimspress.com/article/doi/10.3934/math.2023259?viewType=HTMLmartingaleinterpolationhardy spacessymmetric spacesinequality
spellingShingle Changzheng Yao
Congbian Ma
An extension of the classical John-Nirenberg inequality of martingales
AIMS Mathematics
martingale
interpolation
hardy spaces
symmetric spaces
inequality
title An extension of the classical John-Nirenberg inequality of martingales
title_full An extension of the classical John-Nirenberg inequality of martingales
title_fullStr An extension of the classical John-Nirenberg inequality of martingales
title_full_unstemmed An extension of the classical John-Nirenberg inequality of martingales
title_short An extension of the classical John-Nirenberg inequality of martingales
title_sort extension of the classical john nirenberg inequality of martingales
topic martingale
interpolation
hardy spaces
symmetric spaces
inequality
url https://www.aimspress.com/article/doi/10.3934/math.2023259?viewType=HTML
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