Pointwise inequalities and approximation in fractional Sobolev spaces

David Swanson. "Pointwise inequalities and approximation in fractional Sobolev spaces." Studia Mathematica 149.2 (2002): 147-174. <http://eudml.org/doc/284739>.

@article{DavidSwanson2002,
abstract = {We prove that a function belonging to a fractional Sobolev space $L^\{α,p\}(ℝⁿ)$ may be approximated in capacity and norm by smooth functions belonging to $C^\{m,λ\}(ℝⁿ)$, 0 < m + λ < α. Our results generalize and extend those of [12], [4], [14], and [11].},
author = {David Swanson},
journal = {Studia Mathematica},
keywords = {capacity; approximation by smooth functions; fractional Sobolev space; Bessel potential space; Calderón-Zygmund extension operator},
language = {eng},
number = {2},
pages = {147-174},
title = {Pointwise inequalities and approximation in fractional Sobolev spaces},
url = {http://eudml.org/doc/284739},
volume = {149},
year = {2002},
}

TY - JOUR
AU - David Swanson
TI - Pointwise inequalities and approximation in fractional Sobolev spaces
JO - Studia Mathematica
PY - 2002
VL - 149
IS - 2
SP - 147
EP - 174
AB - We prove that a function belonging to a fractional Sobolev space $L^{α,p}(ℝⁿ)$ may be approximated in capacity and norm by smooth functions belonging to $C^{m,λ}(ℝⁿ)$, 0 < m + λ < α. Our results generalize and extend those of [12], [4], [14], and [11].
LA - eng
KW - capacity; approximation by smooth functions; fractional Sobolev space; Bessel potential space; Calderón-Zygmund extension operator
UR - http://eudml.org/doc/284739
ER -