Extension of smooth functions from finitely connected planar domains
type: Item
instance of: scholarly article
title: Extension of smooth functions from finitely connected planar domains
zbMATH Open document ID: 0962.46017
DOI: 10.1007/BF02921985
author: Nahum Zobin
published in: The Journal of Geometric Analysis
publication date: 2000-12-11T00:00:00Z
review text: The main aim of this paper is to prove the follwing assertion: Let \(\Omega\) be a connected, bounded, finitely connected planar domain. The restriction operator for the Sobolev spaces \(W^k_\infty (R^2)\) to \(W^k_\infty (\Omega)\) is surjective if, and only if, \(\Omega\) is Whitney-regular.
reviewed by: Hans Triebel
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1542100
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: restriction operator
zbMATH Keywords: surjective
zbMATH Keywords: Whitney-regular
MaRDI profile type: Publication
cites work: Q5591751
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description: scientific article; zbMATH DE number 1542100