DOOB'S INEQUALITY, BURICHOLDER-GUNDY INEQUALITY AND MARTINGALE TRANSFORMS ON MARTINGALE MORREY SPACES

被引：19
|
作者：
Ho, Kwok-Pun [1 ]
机构：
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 01期
关键词：
Morrey spaces; Banach function space; block spaces; Doob's inequality; Burkholder-Gundy inequality; martingale transform; Davis' decomposition; martingale; BANACH FUNCTION-SPACES; SINGULAR INTEGRAL-OPERATORS; HARDY-SPACES; VARIABLE EXPONENTS; MAXIMAL-FUNCTION; LEBESGUE SPACES; BLOCKS;
D O I：
10.1016/S0252-9602(17)30119-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the martingale Morrey spaces built on Banach function spaces. We establish the Doob's inequality, the Burkholder-Gundy inequality and the boundedness of martingale transforms for our martingale Morrey spaces. We also introduce the martingale block spaces. By the Doob's inequality on martingale block spaces, we obtain the Davis' decompositions for martingale Morrey spaces.
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页码：93 / 109
页数：17
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