Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces

zbMath1235.46035arXiv1005.5673MaRDI QIDQ3172651

Joaquim Martín, Mario Milman

Publication date: 5 October 2011

Full work available at URL: https://arxiv.org/abs/1005.5673

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) Analysis on metric spaces (30L99)

Related Items (7)

Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces ⋮ Notes for Trudinger–Moser inequality ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ A note on Coulhon type inequalities ⋮ Quantitative isoperimetric inequalities for log-convex probability measures on the line ⋮ Symmetrization inequalities for probability metric spaces with convex isoperimetric profile ⋮ Integral isoperimetric transference and dimensionless Sobolev inequalities

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