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

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

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引用次数: 0

摘要

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。

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

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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.