Differentiability from the representation formula and the Sobolev-Poincaré inequality

@article{ValentinoMagnani2005,
abstract = {In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev-Poincaré inequality and the so-called representation formula.},
author = {Valentino Magnani},
journal = {Studia Mathematica},
keywords = {Sobolev space; space of functions of generalized bounded variation; stratified group; distributional derivative},
language = {eng},
number = {3},
pages = {251-272},
title = {Differentiability from the representation formula and the Sobolev-Poincaré inequality},
url = {http://eudml.org/doc/285260},
volume = {168},
year = {2005},
}

TY - JOUR
AU - Valentino Magnani
TI - Differentiability from the representation formula and the Sobolev-Poincaré inequality
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 3
SP - 251
EP - 272
AB - In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev-Poincaré inequality and the so-called representation formula.
LA - eng
KW - Sobolev space; space of functions of generalized bounded variation; stratified group; distributional derivative
UR - http://eudml.org/doc/285260
ER -