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Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces

Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces

\def\Rn{{\sym R}^n}An $h$-space is a compact set with respect to a quasi-metric and endowed with a Borel measure such that the measure of a ball of radius $r$ is equivalent to $h(r)$, for some function $h$. Applying an approach introduced by Triebel in \c