Symmetrization and sharp Sobolev inequalities in metric spaces

Mario  Milman; Jan  Kališ

doi:10.5209/rev_REMA.2009.v22.n2.16292

Symmetrization and sharp Sobolev inequalities in metric spaces

Mario Milman
Jan Kališ

DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n2.16292

Keywords: Sobolev, Embedding, Metric, Vector fields, Symmetrization

Abstract

We derive sharp Sobolev inequalities for Sobolev spaces on metric spaces. In particular, we obtain new sharp Sobolev embeddings and Faber-Krahn estimates for H¨ormander vector fields.

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2009-07-27

How to Cite

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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Vol. 22 No. 2 (2009)

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