Symmetrization and sharp Sobolev inequalities in metric spaces
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https://doi.org/10.5209/rev_REMA.2009.v22.n2.16292
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##submission.format##
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
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