Sobolev -spaces on -thick closed subsets of

DOI10.1070/SM9199zbMath1462.46044arXiv1606.06749OpenAlexW3010674122MaRDI QIDQ5122432

Sergei Vodop'yanov, Alexander Tyulenev

Publication date: 22 September 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06749

zbMATH Keywords

Sobolev spacestracesextension operatorsWhitney problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integration with respect to measures and other set functions (28A25) Hausdorff and packing measures (28A78)

Related Items (5)

Traces of Sobolev spaces on piecewise Ahlfors-David regular sets ⋮ Some porosity-type properties of sets related to the \(d\)-Hausdorff content ⋮ Trace and extension theorems for homogeneous Sobolev and Besov spaces for unbounded uniform domains in metric measure spaces ⋮ Restrictions of Sobolev W_p^1(R^2)-spaces to planar rectifiable curves ⋮ Almost sharp descriptions of traces of Sobolev spaces on compacta

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