Symmetrization and sharp Sobolev inequalities in metric spaces

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

Resumo

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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Publicado
2009-07-27
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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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