An embedding theorem for Sobolev type functions with gradients in a Lorentz space

Alireza Ranjbar-Motlagh. "An embedding theorem for Sobolev type functions with gradients in a Lorentz space." Studia Mathematica 191.1 (2009): 1-9. <http://eudml.org/doc/285158>.

@article{AlirezaRanjbar2009,
abstract = {The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.},
author = {Alireza Ranjbar-Motlagh},
journal = {Studia Mathematica},
keywords = {Lorentz spaces; Sobolev functions; differentiability; absolutely continuous functions; Orlicz spaces},
language = {eng},
number = {1},
pages = {1-9},
title = {An embedding theorem for Sobolev type functions with gradients in a Lorentz space},
url = {http://eudml.org/doc/285158},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Alireza Ranjbar-Motlagh
TI - An embedding theorem for Sobolev type functions with gradients in a Lorentz space
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 1
SP - 1
EP - 9
AB - The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.
LA - eng
KW - Lorentz spaces; Sobolev functions; differentiability; absolutely continuous functions; Orlicz spaces
UR - http://eudml.org/doc/285158
ER -