Sobolev embeddings, rearrangement-invariant spaces and Frostman measures

DOI10.1016/j.anihpc.2019.06.004zbMath1440.46030arXiv1912.03532OpenAlexW3104100153WikidataQ127493649 ScholiaQ127493649MaRDI QIDQ2285253

Andrea Cianchi, Lenka Slavíková, Luboš Pick

Publication date: 16 January 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03532

zbMATH Keywords

rearrangement-invariant spacesSobolev inequalitiesLorentz spacesFrostman measuresAhlfors regular measures

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 (12)

Weighted inequalities for a superposition of the copson operator and the Hardy operator ⋮ Compactness of Sobolev-type embeddings with measures ⋮ Discretization and antidiscretization of Lorentz norms with no restrictions on weights ⋮ Compactness of Sobolev embeddings and decay of norms ⋮ Optimality problems in Orlicz spaces ⋮ Optimal behavior of weighted Hardy operators on rearrangement‐invariant spaces ⋮ Basic functional properties of certain scale of rearrangement‐invariant spaces ⋮ Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms ⋮ Sobolev anisotropic inequalities with monomial weights ⋮ On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule ⋮ Sobolev embeddings in Orlicz and Lorentz spaces with measures ⋮ Optimal domain spaces in Orlicz-Sobolev embeddings

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