Pointwise inequalities and approximation in
fractional Sobolev spaces
Studia Mathematica, Tome 149 (2002) no. 2, pp. 147-174
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We prove that a function belonging to a fractional Sobolev space $L^{\alpha ,p}({\mathbb R}^n)$ may be approximated in capacity and norm by smooth functions belonging to $C^{m,\lambda } ({\mathbb R}^n)$, $0 m + \lambda \alpha $. Our results generalize and extend those of [12], [4], [14], and [11].
Keywords:
prove function belonging fractional sobolev space alpha mathbb may approximated capacity norm smooth functions belonging lambda mathbb lambda alpha results generalize extend those
Affiliations des auteurs :
David Swanson 1
@article{10_4064_sm149_2_5,
author = {David Swanson},
title = {Pointwise inequalities and approximation in
fractional {Sobolev} spaces},
journal = {Studia Mathematica},
pages = {147--174},
year = {2002},
volume = {149},
number = {2},
doi = {10.4064/sm149-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm149-2-5/}
}
David Swanson. Pointwise inequalities and approximation in fractional Sobolev spaces. Studia Mathematica, Tome 149 (2002) no. 2, pp. 147-174. doi: 10.4064/sm149-2-5
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