Some further properties of discrete Muckenhoupt and Gehring weights

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-01

S. Saker, M. Krnic, D. Baleanu

引用次数: 1

Abstract

Abstract. The main objective of this paper is a further study of discrete Muckenhoupt and Gehring weights. We first restate monotonicity properties of Muckenhoupt and Gehring classes in terms of the corresponding norms. In addition, we establish some norm bounds for Muckenhoupt and Gehring weights. Next, we give a simple characterization of the weight belonging to both Muckenhoupt and Gehring class. Finally, we show that the transition functions, arising from inclusion problems between Muckenhoupt and Gehring classes, are decreasing. As an application, some particular examples of Muckenhoupt and Gehring power weights are also considered.

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离散Muckenhoupt权和Gehring权的进一步性质

摘要本文的主要目的是进一步研究离散Muckenhoupt权值和Gehring权值。我们首先用相应的范数重申了Muckenhoupt类和Gehring类的单调性。此外，我们建立了Muckenhoupt权值和Gehring权值的范数界。接下来，我们给出了Muckenhoupt类和Gehring类权重的简单表征。最后，我们表明，由于Muckenhoupt和Gehring类之间的包含问题而引起的过渡函数正在减小。作为应用，还考虑了Muckenhoupt和Gehring功率权重的一些具体例子。

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.