Pointwise inequalities and approximation in fractional Sobolev spaces
David Swanson
Studia Mathematica, Tome 151 (2002), p. 147-174 / Harvested from The Polish Digital Mathematics Library
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We prove that a function belonging to a fractional Sobolev space Lα,p(ℝⁿ) may be approximated in capacity and norm by smooth functions belonging to Cm,λ(ℝⁿ), 0 < m + λ < α. Our results generalize and extend those of [12], [4], [14], and [11].

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284739 
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David Swanson. Pointwise inequalities and approximation in fractional Sobolev spaces. Studia Mathematica, Tome 151 (2002) pp. 147-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-2-5/