Self improving Sobolev--Poincaré inequalities, truncation and symmetrization

DOI10.1007/s11118-008-9102-8zbMath1166.46014arXiv0707.0376OpenAlexW3099146075MaRDI QIDQ956608

Mario Milman, Joaquim Martín

Publication date: 25 November 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0376

zbMATH Keywords

truncationsymmetrizationself-improvingSobolev-Poincaré inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

Embedding property on rearrangement invariant spaces ⋮ Optimal regularity properties of the generalized Sobolev spaces ⋮ Sobolev anisotropic inequalities with monomial weights ⋮ Isoperimetric Hardy Type and Poincaré Inequalities on Metric Spaces ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Isoperimetry and symmetrization for Sobolev spaces on metric spaces

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• Higher-order symmetrization inequalities and applications
• Sobolev inequalities on sets with irregular boundaries
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• Sobolev-Poincaré implies John
• Sobolev inequalities: symmetrization and self-improvement via truncation
• Symmetrization and second-order Sobolev inequalities
• Weakly Differentiable Functions
• Symmetrization inequalities and Sobolev embeddings
• ON SHARP HIGHER ORDER SOBOLEV EMBEDDINGS
• A note on L(\infty, q) spaces and Sobolev embeddings

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