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We study embeddings between generalised Besov-Morrey spaces. Both sufficientand necessary conditions for the embeddings are proved. Embeddings of theBesov-Morrey spaces into the Lebesgue spaces are also considered. Our approachrequires a wavelet characterisation of the spaces which we establish for thesystem of Daubechies wavelets.

Wavelet decomposition and embeddings of generalised Besov-Morrey spaces