Boundary behavior of functions from Sobolev classes defined on domains with exterior peak

DOI10.3103/S1055134414040038zbMath1340.46030OpenAlexW1984582709MaRDI QIDQ2945826

M. Yu. Vasil'chik, I. M. Pupyshev

Publication date: 14 September 2015

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134414040038

zbMATH Keywords

Sobolev spacepeakweighted Besov spaceboundary behavior of functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Cites Work

• On traces of functions from Sobolev spaces \(W^ 1_ p\) on domains with non-Lipschitz boundaries
• Boundary traces of functions from Sobolev spaces on a domain with a cusp
• On the extension of automorphisms of polynomial rings
• An integral representation and boundary behavior of functions defined in a domain with a peak
• A Whitney extension theorem in \(L^p\) and Besov spaces
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