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Title: Wavelet decomposition and embeddings of generalised Besov–Morrey spaces
Authors: Haroske, Dorothee D. 
Moura, Susana D. 
Skrzypczak, Leszek
Keywords: Besov–Morrey spaces; Embeddings; Generalised Morrey spaces; Wavelet decompositions
Issue Date: 2022
Project: CMUC-UIDB/00324/2020 
Serial title, monograph or event: Nonlinear Analysis, Theory, Methods and Applications
Volume: 214
Abstract: 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)
ISSN: 0362546X
DOI: 10.1016/
Rights: openAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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