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Lorentz–Karamata spaces, Bessel and Riesz potentials and embeddings

Lorentz–Karamata spaces, Bessel and Riesz potentials and embeddings

We consider Lorentz–Karamata spaces and establish embedding theorems (some local and some global) for Bessel-potential spaces modelled upon appropriate Lorentz–Karamata spaces into Lorentz–Karamata spaces and Orlicz spaces. In particular