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- W2033809779 abstract "We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces H_σ_X(ℝ_n_), modelled upon a rearrangement-invariant Banach function spaces X(ℝ_n_), into generalized Hölder spaces involving k-modulus of smoothness. To this end, we derive a characterization of compact subsets of generalized Hölder spaces. We apply our results to the case when X(ℝ_n_) is a Lorentz–Karamata space Lp,q;b(ℝ_n_). Applications cover both superlimiting and limiting cases." @default.
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- W2033809779 date "2011-01-01" @default.
- W2033809779 modified "2023-10-17" @default.
- W2033809779 title "Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness" @default.
- W2033809779 doi "https://doi.org/10.4171/zaa/1421" @default.
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