Banach algebras of weakly differentiable functions

DOI10.1007/s11854-019-0030-xzbMath1440.46029arXiv1512.03198OpenAlexW2963265825WikidataQ127497683 ScholiaQ127497683MaRDI QIDQ2330790

Luboš Pick, Lenka Slavíková, Andrea Cianchi

Publication date: 23 October 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03198

zbMATH Keywords

Sobolev spaceBanach algebraOrlicz-Sobolev spacesLorentz-Sobolev 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)

Cites Work

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• The sharp Sobolev inequality in quantitative form
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Orlicz-Sobolev algebras
• From Brunn-Minkowski to sharp Sobolev inequalities
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Optimal Gaussian Sobolev embeddings
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Sobolev embeddings into BMO, VMO, and \(L_{\infty}\)
• A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
• Sobolev inequalities on sets with irregular boundaries
• The affine Sobolev inequality.
• The longest shortest fence and sharp Poincaré-Sobolev inequalities
• Sharp affine \(L_ p\) Sobolev inequalities.
• Optimal Orlicz-Sobolev embeddings
• Sobolev-Poincaré implies John
• Moser-type inequalities in Lorentz spaces
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Higher-order Sobolev embeddings and isoperimetric inequalities
• Symmetrization and second-order Sobolev inequalities
• Normal and integral currents
• The best sobolev constant
• Optimal Sobolev imbeddings
• Weakly Differentiable Functions
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• A correction to: Sobolev and isoperimetric inequalities for riemannian submanifolds
• On generalized Lorentz-Zygmund spaces
• Some connections between isoperimetric and Sobolev-type inequalities
• A sharp embedding theorem for Orlicz-Sobolev spaces
• On the role of convexity in functional and isoperimetric inequalities
• Sobolev Spaces
• Function Spaces
• Critical dimensions and higher order Sobolev inequalities with remainder terms
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement

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