Symmetrization and sharp Sobolev inequalities in metric spaces

  • Mario Milman
  • Jan Kališ
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Mots-clés : Sobolev, embedding, metric, vector fields, symmetrization 2000 Mathematics Sub ject Classification, Primary, 46E30, 26D10

Résumé

We derive sharp Sob olev inequalities for Sob olev spaces on metric spaces. In particular, we obtain new sharp Sob olev emb eddings and Fab er-Krahn estimates for H¨rmander vector fields. o
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Publié
2009-07-27
Comment citer
Milman, M., & Kališ, J. (2009). Symmetrization and sharp Sobolev inequalities in metric spaces. Revista Matemática Complutense, 22(2), 499-515. https://doi.org/10.5209/rev_REMA.2009.v22.n2.16292
Rubrique
Artículos