Traces of Muckenhoupt weighted function spaces in case of distant singularities-Reference-Cited by-同舟云学术

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Traces of Muckenhoupt weighted function spaces in case of distant singularities

Published:2017-09-01 Issue:3 Volume:24 Page:373-392
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Haroske Dorothee D.¹,Mieth Therese¹

Affiliation:

1. Institute of Mathematics, Friedrich Schiller University Jena, 07737Jena, Germany

Abstract

AbstractWe study Besov and Triebel–Lizorkin spaces with Muckenhoupt weights which have their singularities at some distance from the set where the trace is taken. We exemplify our results for special weights of type

{w(x)\sim|x|^{\alpha}}

. The approach is based on atomic decomposition results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/24/3/article-p373.xml

Reference94 articles.

1. Weighted inequalities for vector-valued maximal functions and singular integrals;Studia Math.,1980/81

2. Matrix-weighted Besov spaces and conditions of Ap{A_{p}} type for 0;Indiana Univ. Math. J.,2004

3. A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces;Studia Math.,1996

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces;Mathematische Nachrichten;2022-09

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