Optimal Sobolev imbedding spaces
Ron Kerman ; Luboš Pick
Studia Mathematica, Tome 192 (2009), p. 195-217 / Harvested from The Polish Digital Mathematics Library
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This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:285292 
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     year = {2009},
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Ron Kerman; Luboš Pick. Optimal Sobolev imbedding spaces. Studia Mathematica, Tome 192 (2009) pp. 195-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-3-1/