Published Paper

Inserted: 29 oct 2010
Last Updated: 1 mar 2014

Journal: International Mathematical Series (N.Y.)
Volume: 11
Number: 1
Pages: 255-272
Year: 2010

Abstract:

In this paper we investigate geometric properties of planar domains that are extension for functions with bounded variation. We start from a characterization of such domains given by Burago--Mazya and prove that a bounded simply connected domain is a BV extension domain if and only if its complement is quasiconvex. We also show some relations with Sobolev extension domains.

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• planarBVfinal.pdf