Abstract
We study necessary and sufficient conditions for a domain to be a Sobolev extension domain in the setting of metric measure spaces. In particular, we prove that extension domains must satisfy a measure density condition.
Citation
Piotr Hajłasz . Pekka Koskela . Heli Tuominen . "Measure density and extendability of Sobolev functions." Rev. Mat. Iberoamericana 24 (2) 645 - 669, July, 2008.
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