维纳汞齐与某些经典空间之间的锐嵌入

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-29 DOI:10.1007/s43037-023-00323-9

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引用次数: 0

摘要

摘要本文研究了维纳汞齐空间和经典空间之间的嵌入关系，包括索波列夫空间、局部哈代空间、贝索夫空间和（\α \）-调制空间。通过建立精确条件，我们提供了维纳汞齐空间与这些经典空间之间嵌入的详细表征，特别是当\(\alpha =0\)时的最一般情况，扩展了赵国武-杨-赵（J Funct Anal 273(1):404-443, 2017）获得的主要结果。此外，我们还讨论了当 \(0<p\leqslant 1\) 时，维纳汞齐空间与 Triebel-Lizorkin 空间 \(F_{p,r}^{s}\) 之间的嵌入关系。

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Sharp embedding between Wiener amalgam and some classical spaces

Abstract

This paper investigates the embedding relationships between Wiener amalgam spaces and classical spaces, including Sobolev spaces, local Hardy spaces, Besov spaces, and \(\alpha \) -modulation spaces. By establishing exact conditions, we provide a detailed characterization of the embeddings between Wiener amalgam spaces and these classical spaces, particularly the most general case when \(\alpha =0\) , which extend the main results obtained by Guo–Wu–Yang–Zhao (J Funct Anal 273(1):404–443, 2017). Furthermore, we discuss the embedding relationship between Wiener amalgam spaces and Triebel–Lizorkin spaces \(F_{p,r}^{s}\) when \(0<p\leqslant 1\) .

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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.