Generalization of some extremal problems on non-overlapping domains with free poles

DOI10.2478/v10062-012-0018-9zbMath1293.30055arXiv1107.0849OpenAlexW2064838072MaRDI QIDQ2442916

Iryna Viktorovich Denega

Publication date: 2 April 2014

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0849

zbMATH Keywords

inner radiusseparating transformation\(n\)-radial system of pointsextremal problems on non-overlapping domains

Mathematics Subject Classification ID

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

Related Items (6)

Extremal decomposition of the complex plane with restrictions for free poles ⋮ Extremal decomposition of the complex plane with free poles ⋮ Extremal decomposition of the complex plane with free poles. II ⋮ Estimation of the maximum product of inner radii of mutually disjoint domains ⋮ Separating transformation and extremal problems on nonoverlapping simply connected domains ⋮ Weakened problem on extremal decomposition of the complex plane

Cites Work

• Separating transformation of domains and extremal decomposition problems
• Moduli of families of curves for conformal and quasiconformal mappings
• Asymptotics of the module of a degenerating condenser and some of their applications
• Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen
• Some uniqueness results in the theory of symmetrization
• Symmetrization in the geometric theory of functions of a complex variable
• Some Inequalities in the Theory of Functions
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