Exponential integrability of martingales

被引:3
作者
Ho, Kwok-Pun [1 ]
机构
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
关键词
Martingale; maximal function; quadratic variation; Orlicz spaces; exponential integrability; EMBEDDINGS;
D O I
10.2989/16073606.2018.1443169
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain the exponential integrability of the maximal function, the quadratic variation and the conditional quadratic variation of bounded martingales and exponential integrable martingales.
引用
收藏
页码:201 / 206
页数:6
相关论文
共 10 条
[1]  
[Anonymous], 1973, SEMINAR NOTES RECENT
[2]  
[Anonymous], 2004, HARDY OPERATORS FUNC, DOI DOI 10.1007/978-3-662-07731-3
[3]   Norms of embeddings of logarithmic Bessel potential spaces [J].
Edmunds, DE ;
Gurka, P ;
Opic, B .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (08) :2417-2425
[4]  
Ho K.-P., PREPRINT
[5]   ATOMIC DECOMPOSITIONS, DUAL SPACES AND INTERPOLATIONS OF MARTINGALE HARDY-LORENTZ-KARAMATA SPACES [J].
Ho, Kwok-Pun .
QUARTERLY JOURNAL OF MATHEMATICS, 2014, 65 (03) :985-1009
[6]  
Jiao Y, 2012, MATH INEQUAL APPL, V15, P77
[7]   On some inequalities for Doob decompositions in Banach function spaces [J].
Kikuchi, Masato .
MATHEMATISCHE ZEITSCHRIFT, 2010, 265 (04) :865-887
[8]  
Long R., 1993, MARTINGALE SPACES IN
[9]  
TRIEBEL H, 1993, P LOND MATH SOC, V66, P589
[10]  
Weiss F., 1994, MARTINGALE HARDY SPA