THE PREDUAL AND JOHN-NIRENBERG INEQUALITIES ON GENERALIZED BMO MARTINGALE SPACES

被引：56

作者：

Jiao, Yong ^{[1
]}

Wu, Lian ^{[1
]}

Yang, Anming ^{[1
]}

Yi, Rui ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410085, Hunan, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 01期

关键词：

Predual; John-Nirenberg inequalities; generalized BMO spaces; martingale Hardy-Lorentz space; fractional integral; ATOMIC DECOMPOSITIONS; HARDY-SPACES;

D O I：

10.1090/tran/6657

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce the generalized BMO martingale spaces by stopping time sequences, which enable us to characterize the dual spaces of martingale Hardy-Lorentz spaces H-p,q(s) for 0 < p <= 1, 1 < q < infinity. Moreover, by duality we obtain a John-Nirenberg theorem for the generalized BMO martingale spaces when the stochastic basis is regular. We also extend the boundedness of fractional integrals to martingale Hardy-Lorentz spaces.

引用

页码：537 / 553

页数：17

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