EXTRAPOLATION IN GRAND BANACH FUNCTION SPACES AND APPLICATIONS

被引:0
|
作者
Meskhi, Alexander [1 ,2 ]
机构
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 2 Merab Aleksidze 2 Lane, Tbilisi 0193, Georgia
[2] Kutaisi Int Univ, Youth Ave,Turn 5-7, Kutaisi 4600, Georgia
关键词
Extrapolation; Banach function spaces; Boundedness; Weighted inequality; Martingale transform; BOUNDEDNESS; OPERATORS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note extrapolation results in grand Banach function spaces E-p),E-phi(center dot) are presented. The boundedness of martingale transform in these spaces is also established. We deal with diagonal and off-diagonal cases. Banach function spaces are defined on quasi-metric measure spaces but the results are new even for domains in R-n.
引用
收藏
页码:165 / 169
页数:5
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