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math.FA2014
Optimal rearrangement invariant Sobolev embeddings in mixed norm spaces
Nadia Clavero, Javier Soria
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 d…
math.FA2014
Mixed norm spaces and rearrangement invariant estimates
Nadia Clavero, Javier Soria
Our main goal in this work is to further improve the mixed norm estimates due to Fournier, and also Algervik and Kolyada, to more general rearrangement invariant (r.i.) spaces. In…