Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 793-802
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F. G. Avkhadiev. Sufficient conditions for the univalence of quasiconformal mappings. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 793-802. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a0/
@article{MZM_1975_18_6_a0,
author = {F. G. Avkhadiev},
title = {Sufficient conditions for the univalence of quasiconformal mappings},
journal = {Matemati\v{c}eskie zametki},
pages = {793--802},
year = {1975},
volume = {18},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a0/}
}
TY - JOUR
AU - F. G. Avkhadiev
TI - Sufficient conditions for the univalence of quasiconformal mappings
JO - Matematičeskie zametki
PY - 1975
SP - 793
EP - 802
VL - 18
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a0/
LA - ru
ID - MZM_1975_18_6_a0
ER -
%0 Journal Article
%A F. G. Avkhadiev
%T Sufficient conditions for the univalence of quasiconformal mappings
%J Matematičeskie zametki
%D 1975
%P 793-802
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a0/
%G ru
%F MZM_1975_18_6_a0
Using two methods, quasiconformal continuation involving a theorem of Hadamard and direct estimation of $f(z_2)-f(z_1)$, we obtain sufficient conditions for the univalence of continuously differentiable mappings $f(z)$ of plane domains which, in the case of conformal mappings, reduce to both well-known and new results.
