On a generalization of Nikolskij's extension theorem in the case of two variables.

DOI10.1023/B:APOM.0000024482.61562.2BzbMath1099.46022MaRDI QIDQ851587

Alexander Ženíšek

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33153

zbMATH Keywords

Calderon's extensionmodified Nikolskij's extension in case of 2D-domains with a Lipschitz continuous boundaryNikolskij's extensionWhitney's extension

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear function spaces and their duals (46E99) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (2)

Extensions from the Sobolev spaces \(H^1\) satisfying prescribed Dirichlet boundary conditions. ⋮ Variational Problems in Domains with Cusp-Points and the Finite Element Method

Cites Work

• Finite element variational crimes in the case of semiregular elements
• Extension of the range of a differentiable function
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
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