Extreme problem for partially nonoverlapping domains on a Riemann sphere

DOI10.1007/s10958-018-4060-1zbMath1408.30008OpenAlexW2892576998MaRDI QIDQ1755721

Irina Igor'evna Targonskaya, Andreĭ Leonidovich Targonskiĭ

Publication date: 11 January 2019

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

Full work available at URL: http://eprints.zu.edu.ua/28465/1/an3.pdf

zbMATH Keywords

quadratic differentialsinner radius of a domainnonoverlapping domains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Related Items (7)

Estimates of generalized internal radii for polycylindrical domains ⋮ A.K. Bakhtin. Scientific legacy ⋮ Extreme problem for a mosaic system of points on the open sets and nonoverlapping domains ⋮ Analytic functions of a vector argument and partially conformal mappings in continuum complex spaces ⋮ Extreme problem for a mosaic system of points ⋮ Estimates of the products on inner radii for multiconnected domains ⋮ About one extremal problem for open sets and partially non-overlapping domains

Cites Work

• Generalized \((n, d)\)-ray systems of points and inequalities for nonoverlapping domains and open sets
• Inequalities for the inner radii of nonoverlapping domains and open sets
• Extremal Problems and Quadratic Differentials
• 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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