Geodesic
Absolute continuity of functions in Sobolev spaces and modules of families of hypersurfaces elated to the Lorentz spaces
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 2, pp. 82-98

Voir la notice de l'article provenant de la source Math-Net.Ru

We study traces of functions In Sobolev–Lorentz spaces on Lipschitz hypersurfaces. We consider some aspects concerning the $(n-1)$-absolute continuity of functions.
Keywords: Lorentz spaces, modulus of the family of hypersurfaces, absolute continuity.
Mots-clés : Sobolev spaces 
@article{VNGU_2017_17_2_a6,
     author = {A. S. Romanov},
     title = {Absolute continuity of  functions in {Sobolev} spaces and  modules of families of hypersurfaces elated to the {Lorentz} spaces},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {82--98},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a6/}
}
TY  - JOUR
AU  - A. S. Romanov
TI  - Absolute continuity of  functions in Sobolev spaces and  modules of families of hypersurfaces elated to the Lorentz spaces
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2017
SP  - 82
EP  - 98
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a6/
LA  - ru
ID  - VNGU_2017_17_2_a6
ER  - 
%0 Journal Article
%A A. S. Romanov
%T Absolute continuity of  functions in Sobolev spaces and  modules of families of hypersurfaces elated to the Lorentz spaces
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2017
%P 82-98
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a6/
%G ru
%F VNGU_2017_17_2_a6
A. S. Romanov. Absolute continuity of  functions in Sobolev spaces and  modules of families of hypersurfaces elated to the Lorentz spaces. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 2, pp. 82-98. http://geodesic.mathdoc.fr/item/VNGU_2017_17_2_a6/