From A1 to A∞: New Mixed Inequalities for Certain Maximal Operators (vol 57, pg 1, 2022)

被引：0

作者：

Berra, Fabio ^{[1
,2
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Santa Fe, Argentina

[2] UNL, FIQ, Dept Matemat, Santa Fe, Argentina

来源：

POTENTIAL ANALYSIS | 2024年 / 60卷 / 04期

关键词：

Young functions; Maximal operators; Muckenhoupt weights; Fractional operators;

D O I：

10.1007/s11118-023-10088-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We devote this note to correct an estimate concerning mixed inequalities for the generalized maximal function M-Phi given in Berra (Potential Anal. 57(1), 1-27, 2022), when certain properties of the associated Young function Phi are assumed. Although the obtained estimates turn out to be slightly different, they are good extensions of mixed inequalities for the classical Hardy-Littlewood maximal functions Mr, with r >= 1. They also allow us to obtain mixed estimates for the generalized fractional maximal operator M-gamma, Phi when 0 < gamma < n and Phi is an L log L type function.

引用

页码：1595 / 1610

页数：16