Wavelet decomposition and embeddings of generalised Besov–Morrey spaces

Autor:	Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
Rok vydání:	2022
Předmět:	Applied Mathematics Library science Wavelet decompositions Besov–Morrey spaces language.human_language Embeddings German Generalised Morrey spaces Government (linguistics) Wavelet decomposition language Center (algebra and category theory) Portuguese Analysis Mathematics
Zdroj:	Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP
ISSN:	0362-546X
DOI:	10.1016/j.na.2021.112590
Popis:	We study embeddings between generalised Besov–Morrey spaces Nφ,p,qs(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. © 2021 The Author(s) The first and last author were partially supported by the German Research Foundation (DFG), Grant No. Ha 2794/8-1.The second author was partially supported by the Centre for Mathematics of the University of Coimbra, Portugal - UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES.The author was supported by National Science Center, Poland, Grant No. 2013/10/A/ST1/00091.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccb4d7bf09d884610f295289572459d2 https://doi.org/10.1016/j.na.2021.112590 Zobrazit plný text záznamu Full Text from ScienceDirect