Wavelet decomposition and embeddings of generalised Besov-Morrey spaces

被引：8

作者：

Haroske, Dorothee D. ^{[1
]}

Moura, Susana D. ^{[2
]}

Skrzypczak, Leszek ^{[3
]}

机构：

[1] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany

[2] Univ Coimbra, Dept Math, EC Santa Cruz, CMUC, P-3001501 Coimbra, Portugal

[3] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 214卷

关键词：

Besov-Morrey spaces; Generalised Morrey spaces; Embeddings; Wavelet decompositions; INTEGRAL-OPERATORS; EQUATIONS;

D O I：

10.1016/j.na.2021.112590

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study embeddings between generalised Besov-Morrey spaces Ns phi,p,q(Rd). Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the Lebesgue spaces Lr(Rd) are also considered. Our approach requires a wavelet characterisation of the spaces which we establish for the system of Daubechies wavelets. (c) 2021 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

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