Symmetrization and sharp Sobolev inequalities in metric spaces

Details Symmetrization and sharp Sobolev inequalities in metric spaces Symmetrization and sharp Sobolev inequalities in metric spaces

2008-05-31

arxiv.org/abs/0806.0052v1

Mathematics

Functional Analysis

Scientific paper

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\"{o}rmander vector fields.

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