Wavelet decomposition and embeddings of generalised Besov-Morrey spaces
Functional Analysis
2020-09-08 v1
Abstract
We study embeddings between generalised Besov-Morrey spaces. Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the Lebesgue spaces are also considered. Our approach requires a wavelet characterisation of the spaces which we establish for the system of Daubechies wavelets.
Cite
@article{arxiv.2009.03273,
title = {Wavelet decomposition and embeddings of generalised Besov-Morrey spaces},
author = {Dorothee D. Haroske and Susana D. Moura and Leszek Skrzypczak},
journal= {arXiv preprint arXiv:2009.03273},
year = {2020}
}