On a rearrangement-invariant function set that appears in optimal Sobolev embeddings |
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Authors: | Evgeniy Pustylnik |
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Institution: | Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel |
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Abstract: | We give necessary and sufficient conditions for the set of measurable functions 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. |
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Keywords: | Sobolev embeddings Rearrangement-invariant spaces Boyd indices |
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