Wavelet decomposition and embeddings of generalised Besov–Morrey spaces

Dorothee D Haroske,Susana D Moura,Leszek Skrzypczak

doi:10.1016/j.na.2021.112590

Wavelet decomposition and embeddings of generalised Besov–Morrey spaces

Dorothee D Haroske, Susana D Moura + Show 1 more

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https://doi.org/10.1016/j.na.2021.112590

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Journal: Nonlinear Analysis	Publication Date: Oct 1, 2021
License type: cc-by

Affiliation: Friedrich Schiller University Jena, University of Coimbra, Adam Mickiewicz University in Poznań

#Besov Morrey Spaces #System Of Wavelets + Show 5 more

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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.

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