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On the One Extremal Problem on the Riemann Sphere

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Abstract:

Sharp estimates of product of inner radii for pairwise disjoint domains are obtained. In particular, we solve an extremal problem in the case of arbitrary finite number of rays containing arbitrary even number of free poles.

Info:

Periodical:
International Journal of Advanced Research in Mathematics (Volume 4)
Pages:
1-7
DOI:
https://doi.org/10.18052/www.scipress.com/IJARM.4.1
Citation:
A. L. Targonskii and I. Targonskaya, "On the One Extremal Problem on the Riemann Sphere", International Journal of Advanced Research in Mathematics, Vol. 4, pp. 1-7, 2016
Online since:
Feb 2016
Authors:
Andrey L. Targonskii, Irina Targonskaya
Keywords:
Green Function, Inner Radius of Domain, Logarithmic Capacity, Piecewise-Separating Transformation, Quadratic Differential, Radial Systems of Points, Variational Formula
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Distribution:
Open Access

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This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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