Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale local Morrey spaces

被引：1
|
作者：
Ho, K. -P. [1 ]
机构：
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2024年 / 174卷 / 02期
关键词：
Doob's inequality; Burkholder-Gundy inequality; martingale transform; local Morrey space; martingale space; HARDY-SPACES; SUFFICIENT CONDITIONS; INTEGRAL-OPERATORS; MAXIMAL OPERATOR; BOUNDEDNESS;
D O I：
10.1007/s10474-024-01485-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the martingale local Morrey spaces. We establish the Doob's inequality, the Burkholder-Gundy inequality and the boundedness of the martingale transforms to martingale local Morrey spaces defined on complete probability spaces.
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页码：312 / 322
页数：11
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