Matematičeskie zametki, Tome 23 (1978) no. 2, pp. 261-270
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Yu. E. Alenitsyn. Some extremal properties of conformal mappings of a multiply connected domain onto canonical $p$-sheeted surfaces. Matematičeskie zametki, Tome 23 (1978) no. 2, pp. 261-270. http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a9/
@article{MZM_1978_23_2_a9,
author = {Yu. E. Alenitsyn},
title = {Some extremal properties of conformal mappings of a~multiply connected domain onto canonical $p$-sheeted surfaces},
journal = {Matemati\v{c}eskie zametki},
pages = {261--270},
year = {1978},
volume = {23},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a9/}
}
TY - JOUR
AU - Yu. E. Alenitsyn
TI - Some extremal properties of conformal mappings of a multiply connected domain onto canonical $p$-sheeted surfaces
JO - Matematičeskie zametki
PY - 1978
SP - 261
EP - 270
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a9/
LA - ru
ID - MZM_1978_23_2_a9
ER -
%0 Journal Article
%A Yu. E. Alenitsyn
%T Some extremal properties of conformal mappings of a multiply connected domain onto canonical $p$-sheeted surfaces
%J Matematičeskie zametki
%D 1978
%P 261-270
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_2_a9/
%G ru
%F MZM_1978_23_2_a9
Some theorems of Kühnau on the mutual position of the boundary components of images of a multiply connected domain under single-sheeted conformal mappings are generalized to $p$-sheeted conformal mappings of a multiply connected domain with given singularities at given points of the domain. Concrete estimates for certain functionals are obtained for an annulus.