Some extremal properties of conformal mappings of a multiply connected domain onto canonical p-sheeted surfaces |
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| Authors: | Yu E Alenitsyn |
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| Institution: | (1) V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, Leningrad Branch, USSR |
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| Abstract: | 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.Translated from Matematicheskie Zametki, Vol. 23, No. 2, pp. 261–270, February, 1978. |
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