EXTRAPOLATION THEOREMS IN LEBESGUE AND GRAND LEBESGUE SPACES FOR QUASI-MONOTONE FUNCTIONS

被引：0

作者：

Singh, Arun Pal ^{[1
]}

Panchal, Rahul ^{[2
]}

Jain, Pankaj ^{[3
]}

Singh, Monika ^{[4
]}

机构：

[1] Univ Delhi, Dyal Singh Coll, Dept Math, Lodhi Rd, New Delhi 110003, India

[2] Univ Delhi, Dept Math, Delhi 110007, India

[3] South Asian Univ, Dept Math, Rajpur Rd, New Delhi 110068, India

[4] Univ Delhi, Lady Shri Ram Coll Women, Dept Math, New Delhi 110024, India

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 02期

关键词：

Rubio de Francia extrapolation; Grand Lebesgue space; QB(beta; p)-weights; Hardy averaging operator; Quasi-monotone functions; INTEGRAL-OPERATORS; BOUNDEDNESS; WEIGHTS; INEQUALITIES; RUBIO; NORM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Rubio de Francia extrapolation results in Lebesgue and grand Lebesgue spaces for quasi-monotone functions with QB(beta,p) weights. The extrapolation in Lebesgue spaces with the weight class QB(beta,infinity) has also been investigated. As an application, we characterize the boundedness of the Hardy averaging operator for quasi- monotone functions in the grand Lebesgue spaces.

引用

页码：275 / 288

页数：14

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