Quantitative weighted estimates for generalized commutators of multilinear Calderón–Zygmund operators with the kernels of Dini type

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-27 DOI:10.1007/s43037-024-00353-x

Yuru Li, Jiawei Tan, Qingying Xue

引用次数: 0

Abstract

Let T be a multilinear Calderón–Zygmund operator of type \(\omega \). \(T_{\vec {b},S}\) is the generalized commutator of T, which generalizes several commutators that already existed. It is shown in this paper that the weak and strong type quantitative weighted estimates for \(T_{\vec {b},S}\) when \(\vec {b}=\{b_i\}_{i=1}^{\infty }\) belongs to exponential oscillation spaces and Lipschitz spaces, respectively. As applications, we obtain the multiple weighted norm inequalities for the generalized commutators of bilinear pseudo-differential operators and paraproducts with mild regularity.

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具有迪尼型核的多线性卡尔德隆-齐格蒙德算子广义换元器的定量加权估计值

让 T 是一个 \(\omega \) 类型的多线性卡尔德龙-齐格蒙德算子。\(T_{\vec {b},S}\) 是 T 的广义换元器，它概括了已有的几个换元器。本文证明了当\(\vec {b}=\{b_i\}_{i=1}^{\infty }\) 分别属于指数振荡空间和 Lipschitz 空间时，\(T_{\vec {b},S}\) 的弱型和强型定量加权估计。作为应用，我们得到了双线性伪微分算子的广义换元数和副积的多重加权规范不等式，并具有温和的正则性。

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

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.