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Keywords:
extrapolation; Lorentz-Zygmund spaces; Sobolev spaces; reduced Sobolev spaces; Besov spaces; Lipschitz spaces; limiting embeddings; case of missing derivatives
extrapolation; Lorentz-Zygmund spaces; Sobolev spaces; reduced Sobolev spaces; Besov spaces; Lipschitz spaces; limiting embeddings; case of missing derivatives
Summary:
We survey recent contributions dealing with function spaces of Lorentz-Zygmund type and Lipschitz type which can be obtained by extrapolation techniques, and study equivalent characterizations. Furthermore, we collect results connected with embeddings and decompositions in such spaces, as well as the case of missing derivatives. We only present some model proofs and describe ideas how to deal with such questions; otherwise we refer to the original papers for details and related topics.
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