Characterization of a class of embeddings for function spaces with Muckenhoupt weights

被引：0
|
作者：
Martin Meyries
Mark Veraar
机构：
[1] Martin-Luther-Universität Halle-Wittenberg,Institut für Mathematik
[2] Delft University of Technology,Delft Institute of Applied Mathematics
来源：
Archiv der Mathematik | 2014年 / 103卷
关键词：
Sobolev embeddings; Jawerth–Franke embeddings; Muckenhoupt weights; Sobolev spaces; Slobodetskii spaces; Bessel-potential spaces; Triebel–Lizorkin spaces; Besov spaces; Vector-valued function spaces; 46E35; 46E40;
D O I：
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学科分类号：
摘要：
For function spaces equipped with Muckenhoupt weights, the validity of continuous Sobolev embeddings in case p0≤p1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${p_0 \leq p_1}$$\end{document} is characterized. Extensions to Jawerth–Franke embeddings, vector-valued spaces, and examples involving some prominent weights are also provided.
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页码：435 / 449
页数：14
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