Sharp embedding between Wiener amalgam and some classical spaces

IF 1.1 2区数学 Q1 MATHEMATICS

Banach Journal of Mathematical Analysis Pub Date : 2024-02-29 DOI:10.1007/s43037-023-00323-9

引用次数: 0

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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维纳汞齐与某些经典空间之间的锐嵌入

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。

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

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.