Symmetrization inequalities and Sobolev embeddings

DOI10.1090/S0002-9939-06-08277-3zbMath1098.46026OpenAlexW1810761946MaRDI QIDQ5290026

Mario Milman, Joaquim Martín

Publication date: 24 April 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08277-3

zbMATH Keywords

Besov spaceembedding theoremssymmetrization principle

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (20)

Isoperimetric weights and generalized uncertainty inequalities in metric measure spaces ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ New estimates for the maximal functions and applications ⋮ Characterization of a rearrangement-invariant hull of a Besov space via interpolation ⋮ Higher-order symmetrization inequalities and applications ⋮ Embedding property on rearrangement invariant spaces ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ Symmetrization inequalities in the fractional case and Besov embeddings ⋮ The modulus of smoothness in metric spaces and related problems ⋮ Optimal regularity properties of the generalized Sobolev spaces ⋮ Sobolev inequalities: symmetrization and self-improvement via truncation ⋮ Capacities and embeddings via symmetrization and conductor inequalities ⋮ Self improving Sobolev--Poincaré inequalities, truncation and symmetrization ⋮ The fundamental function of spaces generated by interpolation methods associated to polygons ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Pointwise symmetrization inequalities for Sobolev functions and applications ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces ⋮ A Sobolev type embedding theorem for Besov spaces defined on doubling metric spaces ⋮ Functional properties of rearrangement invariant spaces defined in terms of oscillations

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