Geodesic
On asymptotic curves and values in the theory of mappings with weighted bounded distortion
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 688-697

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

We show that a mapping with weighted bounded $(p,q)$-distortion can be extended to the set whose family of asymptotic curves has weighted modulus zero. We also state some results about asymptotic values, in particular, the counterpart to Iversen's theorem for mappings with weighted bounded $(n,n)$-distortion.
Keywords: mapping with weighted bounded $(p,q)$-distortion, asymptotic curve, asymptotic value, singularity, capacity, modulus. 
@article{SEMR_2015_12_a86,
     author = {M. V. Tryamkin},
     title = {On asymptotic curves and values in the theory of mappings with weighted bounded distortion},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {688--697},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a86/}
}
TY  - JOUR
AU  - M. V. Tryamkin
TI  - On asymptotic curves and values in the theory of mappings with weighted bounded distortion
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2015
SP  - 688
EP  - 697
VL  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2015_12_a86/
LA  - en
ID  - SEMR_2015_12_a86
ER  - 
%0 Journal Article
%A M. V. Tryamkin
%T On asymptotic curves and values in the theory of mappings with weighted bounded distortion
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2015
%P 688-697
%V 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2015_12_a86/
%G en
%F SEMR_2015_12_a86
M. V. Tryamkin. On asymptotic curves and values in the theory of mappings with weighted bounded distortion. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 688-697. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a86/