Geodesic
Compact embeddings of Besov spaces involving only slowly varying smoothness
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 923-940
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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.
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.
DOI : 10.1007/s10587-011-0060-8
Classification : 46E30, 46E35
Keywords: Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings 
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Caetano, António; Gogatishvili, Amiran; Opic, Bohumír. Compact embeddings of Besov spaces involving only slowly varying smoothness. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 923-940. doi: 10.1007/s10587-011-0060-8

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