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arXiv · 0806.0052

Symmetrization and sharp Sobolev inequalities in metric spaces

Jan Kalis·Mario Milman
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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 Hörmander vector fields.

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Jan Kalis, Mario Milman. 2008-05-31. Symmetrization and sharp Sobolev inequalities in metric spaces. https://arxiv.org/abs/0806.0052

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