Measure density and extendability of Sobolev functions
Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, p. 645-669 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2008-04-15
Classification:  Sobolev extension,  doubling measure,  46E35 
@article{1218475358,
     author = {Haj\l asz
,  
Piotr and Koskela
,  
Pekka and Tuominen
,  
Heli},
     title = {Measure density and extendability of Sobolev functions},
     journal = {Rev. Mat. Iberoamericana},
     volume = {24},
     number = {2},
     year = {2008},
     pages = { 645-669},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1218475358}
}

Hajłasz
,  
Piotr; Koskela
,  
Pekka; Tuominen
,  
Heli. Measure density and extendability of Sobolev functions. Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, pp.  645-669. http://gdmltest.u-ga.fr/item/1218475358/