@article{PiotrHajłasz2003,
abstract = {The purpose of this paper is to provide a new characterization of the Sobolev space $W^\{1,1\}(ℝⁿ)$. We also show a new proof of the characterization of the Sobolev space $W^\{1,p\}(ℝⁿ)$, 1 ≤ p < ∞, in terms of Poincaré inequalities.},
author = {Piotr Hajłasz},
journal = {Studia Mathematica},
keywords = {Sobolev spaces, Lebesgue spaces, Poincaré type inequalities, restricted Hardy-Littlewood maximal functions},
language = {eng},
number = {2},
pages = {263-275},
title = {A new characterization of the Sobolev space},
url = {http://eudml.org/doc/285129},
volume = {159},
year = {2003},
}
TY - JOUR
AU - Piotr Hajłasz
TI - A new characterization of the Sobolev space
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 2
SP - 263
EP - 275
AB - The purpose of this paper is to provide a new characterization of the Sobolev space $W^{1,1}(ℝⁿ)$. We also show a new proof of the characterization of the Sobolev space $W^{1,p}(ℝⁿ)$, 1 ≤ p < ∞, in terms of Poincaré inequalities.
LA - eng
KW - Sobolev spaces, Lebesgue spaces, Poincaré type inequalities, restricted Hardy-Littlewood maximal functions
UR - http://eudml.org/doc/285129
ER -
