Sobolev-type spaces from generalized Poincaré inequalities
Toni Heikkinen ; Pekka Koskela ; Heli Tuominen
Studia Mathematica, Tome 178 (2007), p. 1-16 / Harvested from The Polish Digital Mathematics Library
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We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284520 
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     title = {Sobolev-type spaces from generalized Poincar\'e inequalities},
     journal = {Studia Mathematica},
     volume = {178},
     year = {2007},
     pages = {1-16},
     zbl = {1129.46026},
     language = {en},
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Toni Heikkinen; Pekka Koskela; Heli Tuominen. Sobolev-type spaces from generalized Poincaré inequalities. Studia Mathematica, Tome 178 (2007) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-1-1/