Trace principle for Riesz potentials on Herz-type spaces and applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-03 DOI:10.1186/s13660-024-03192-4

M. Ashraf Bhat, G. Sankara Raju Kosuru

引用次数: 0

Abstract

We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo–Nirenberg–Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces.

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赫兹型空间上里兹势的迹原理及其应用

我们为赫兹型空间上的里兹势建立了迹不等式，并研究了施加在特定参数上的条件的最优性。我们还以索波列夫型不等式的形式介绍了一些应用，包括赫兹空间环境下的加利亚多-尼伦堡-索波列夫不等式和分数积分定理。此外，我们还获得了赫兹型索波列夫空间的索波列夫嵌入定理。

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.