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

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2024年 / 178卷 / 01期

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

页码：165 / 169

页数：5

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