Geodesic
Change of variables operators in weighted Sobolev spaces on Carnot groups
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 61-68

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

We study mappings inducing a bounded composition operator on weighted Sobolev spaces on Carnot groups. An analytical description of these mappings is given in terms of integrability of weighted distortion function. For the special cases we prove that mapping which generates a bounded composition operator is partially absolutely continuous on almost all horizontal lines.
Keywords: composition operators, weighted Sobolev spaces on Carnot groups. 
@article{VNGU_2015_15_3_a5,
     author = {N. A. Evseev},
     title = {Change of variables operators in weighted {Sobolev} spaces on {Carnot} groups},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {61--68},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a5/}
}
TY  - JOUR
AU  - N. A. Evseev
TI  - Change of variables operators in weighted Sobolev spaces on Carnot groups
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2015
SP  - 61
EP  - 68
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a5/
LA  - ru
ID  - VNGU_2015_15_3_a5
ER  - 
%0 Journal Article
%A N. A. Evseev
%T Change of variables operators in weighted Sobolev spaces on Carnot groups
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2015
%P 61-68
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a5/
%G ru
%F VNGU_2015_15_3_a5
N. A. Evseev. Change of variables operators in weighted Sobolev spaces on Carnot groups. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 3, pp. 61-68. http://geodesic.mathdoc.fr/item/VNGU_2015_15_3_a5/