Some further properties of discrete Muckenhoupt and Gehring weights

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities 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

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.