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
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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.
@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 -
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/