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Keywords:
Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings
Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings
Summary:
We characterize compact embeddings of Besov spaces $B^{0,b}_{p,r}(\mathbb {R}^n)$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_{p, q; \bar {b}}(\Omega )$, where $\Omega $ is a bounded domain in $\mathbb {R}^n$ and $\bar {b}$ is another slowly varying function.
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