An optimal endpoint trace embedding

DOI10.5802/AIF.2543zbMath1208.46029OpenAlexW2522619603MaRDI QIDQ983147

Andrea Cianchi, Luboš Pick

Publication date: 3 August 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116296

zbMATH Keywords

Sobolev spacesrearrangement invariant spacestrace inequalitiesLorentz spaces

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)

Related Items (8)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ Compactness of Sobolev-type embeddings with measures ⋮ Embeddings for spaces of Lorentz-Sobolev type ⋮ On function spaces of Lorentz-Sobolev type ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Sobolev embeddings, rearrangement-invariant spaces and Frostman measures ⋮ Sobolev embeddings in Orlicz and Lorentz spaces with measures ⋮ Optimal Sobolev trace embeddings

Cites Work

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• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Boundary trace inequalities and rearrangements
• Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Espaces d'interpolation et théorème de Soboleff
• Convolution operators and L(p, q) spaces
• Integral transforms and tensor products on Orlicz spaces and L(p,q) spaces
• Optimal Sobolev imbeddings
• Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities
• Imbedding theorems of Sobolev type in potential theory.
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Weakly Differentiable Functions
• On the modulus of continuity of weakly differentiable functions

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