Distribution Function and Nonincreasing Rearrangement of ${\mathbb {B}}{\mathbb {C}}$-Valued Functions with ${\mathbb {B}} {\mathbb {C}}$-Measure

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-18 DOI:10.1007/s00006-024-01327-w

İlker Eryılmaz

引用次数: 0

Abstract

This paper investigates the distribution function and nonincreasing rearrangement of $\mathbb{B}\mathbb{C}$-valued functions equipped with the hyperbolic norm. It begins by introducing the concept of the distribution function for $ \mathbb{B}\mathbb{C}$-valued functions, which characterizes valuable insights into the behavior and structure of $\mathbb{B}\mathbb{C}$-valued functions, allowing to analyze their properties and establish connections with other mathematical concepts. Next, the nonincreasing rearrangement of $\mathbb{B}\mathbb{C}$-valued functions with the hyperbolic norm are studied. By exploring the nonincreasing rearrangement of $\mathbb{B}\mathbb{C}$-valued functions, it is aimed to determine how the hyperbolic norm influences the rearrangement process and its impact on the function’s behavior and properties.

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有$${\mathbb {B}}{mathbb {C}}$ 值函数的分布函数和非递增重排{{mathbb {C}}$ -度量

本文研究了配有双曲规范的有值函数的分布函数和非递增重排。本文首先介绍了 $ （mathbb{B}\mathbb{C}\）有值函数的分布函数的概念，它对\(（mathbb{B}\mathbb{C}\）有值函数的行为和结构提出了有价值的见解，允许分析它们的性质并与其他数学概念建立联系。接下来，研究了具有双曲规范的 \(\mathbb{B}\mathbb{C}$ 有值函数的非递增重排。通过探索 $\mathbb{B}\mathbb{C}$ 有值函数的非递增重排，旨在确定双曲规范如何影响重排过程及其对函数行为和性质的影响。

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.

Distribution Function and Nonincreasing Rearrangement of \({\mathbb {B}}{\mathbb {C}}\)-Valued Functions with \({\mathbb {B}} {\mathbb {C}}\)-Measure

Abstract