Symmetrization and sharp Sobolev inequalities in metric spaces

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.

Cited by in corpus (2)

• Sobolev Inequalities: Symmetrization and Self Improvement via Truncation
• Isoperimetry and symmetrization for logarithmic Sobolev inequalities