Extension of smooth functions from finitely connected planar domains
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.
scientific article; zbMATH DE number 1542100
scientific article