Corrigendum to “From $$A_1$$ to $$A_\infty $$ : New Mixed Inequalities for Certain Maximal Operators”

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-10 DOI:10.1007/s11118-023-10088-3

Fabio Berra

引用次数: 0

Abstract

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 $M_r$, with $r\ge 1$. 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.

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“从$$A_1$$到$$A_\infty $$:某些极大算子的新混合不等式”的勘误表

当相关Young函数$\Phi $的某些性质被假设时，我们将此注释用于修正Berra (Potential Anal. 57(1)， 1 - 27,2022)中给出的关于广义极大函数$M_\Phi $的混合不等式的估计。虽然得到的估计结果略有不同，但它们是经典Hardy-Littlewood极大函数$M_r$的混合不等式的良好扩展，其中$r\ge 1$。它们还允许我们获得广义分数极大算子$M_{\gamma ,\Phi }$的混合估计，当$0<\gamma <n$和$\Phi $是$L\log L$类型函数时。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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