与 k-Cauchy-Fueter 算子相关的 Plemelj-Sokhotski 公式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-21 DOI:10.1007/s00006-024-01359-2

Haiyan Wang, Wei Xia

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引用次数: 0

摘要

处理 Bochner-Martinelli 型积分极限值的 Plemelj-Sokhotski 公式是分析边界值问题的有力工具。本文旨在研究 k-Cauchy-Fueter 算子的 Bochner-Martinelli 型积分公式的边界行为。具体来说，我们考虑了 Plemelj-Sokhotski 公式，这将扩展多变量复分析中的相应结果。

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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The Plemelj-Sokhotski Formulas Associated to the k-Cauchy-Fueter Operator

The Plemelj-Sokhotski formulas, which deal with limiting values of the Bochner-Martinelli type integral, are powerful tools for analyzing boundary value problems. This article aims to study the boundary behavior of the Bochner-Martinelli type integral formula for the k-Cauchy-Fueter operator. Specifically, we consider the Plemelj-Sokhotski formulas, which will extend the corresponding results in the complex analysis of several variables.

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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.