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Some extremal properties of conformal mappings of a multiply connected domain onto canonical $p$-sheeted surfaces
Yu. E. Alenitsyn Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
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.
Received: 11.10.1976
Citation:
Yu. E. Alenitsyn, “Some extremal properties of conformal mappings of a multiply connected domain onto canonical $p$-sheeted surfaces”, Mat. Zametki, 23:2 (1978), 261–270; Math. Notes, 23:2 (1978), 142–146
Linking options:
https://www.mathnet.ru/eng/mzm8140 https://www.mathnet.ru/eng/mzm/v23/i2/p261
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Statistics & downloads: |
Abstract page: | 162 | Full-text PDF : | 75 | First page: | 1 |
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