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On a rearrangement-invariant function set that appears in optimal Sobolev embeddings
Authors:Evgeniy Pustylnik
Institution:Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
Abstract:We give necessary and sufficient conditions for the set of measurable functions View the MathML source to be a normable linear space. We also give a complete characterization of all spaces B that can be represented in the form B=Y(A) for some space A and of all spaces A that can appear in such representations.
Keywords:Sobolev embeddings  Rearrangement-invariant spaces  Boyd indices
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