Estimates of generalized internal radii for polycylindrical domains

DOI10.1007/s10958-022-05812-0zbMath1493.30054OpenAlexW4225309469MaRDI QIDQ2146554

Andrey L. Targonskii

Publication date: 16 June 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05812-0

zbMATH Keywords

Green's functionquadratic differentialradial system of pointsinner radiilogarithmic capacity, variational formula

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

• Generalized \((n, d)\)-ray systems of points and inequalities for nonoverlapping domains and open sets
• An extremal problem for the nonoverlapping domains
• Extreme problem for partially nonoverlapping domains on a Riemann sphere
• Inequalities for the inner radii of nonoverlapping domains and open sets
• Extremal Problems and Quadratic Differentials
• Some extremal problems in the theory of nonoverlapping domains with free poles on rays
• Extremal problem on (2n, 2m – 1)-system points on the rays
• Symmetrization in the geometric theory of functions of a complex variable
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