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- W2949960462 abstract "We improve the Sobolev-type embeddings due to Gagliardo and Nirenberg in the setting of rearrangement invariant (r.i.) spaces. In particular we concentrate on seeking the optimal domains and the optimal ranges for these embeddings between r.i. spaces and mixed norm spaces. As a consequence, we prove that the classical estimate for the standard Sobolev space by Poornima, O'Neil and Peetre (1 <=p<n), and by Hansson, Brezis and Wainger and Maz'ya (p=n) can be further strengthened by considering mixed norms on the target spaces." @default.
- W2949960462 created "2019-06-27" @default.
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- W2949960462 date "2014-06-30" @default.
- W2949960462 modified "2023-09-27" @default.
- W2949960462 title "Optimal rearrangement invariant Sobolev embeddings in mixed norm spaces" @default.
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