Estimation of the maximum product of inner radii of mutually disjoint domains

DOI10.1007/s11253-020-01775-0zbMath1451.30021OpenAlexW3083530390MaRDI QIDQ2203098

Yanyan Li

Publication date: 1 October 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-020-01775-0

zbMATH Keywords

inner radiusmutually disjoint domains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (2)

Estimation of the products of some powers of inner radii for multiconnected domains ⋮ Boundary extensions of mappings satisfying the Poletsky inverse inequality in terms of prime ends

Cites Work

• Generalized \((n, d)\)-ray systems of points and inequalities for nonoverlapping domains and open sets
• Extremal decomposition of the complex plane with restrictions for free poles
• An extremal problem for the nonoverlapping domains
• Separating transformation and extremal problems on nonoverlapping simply connected domains
• About one extremal problem for the projections of points on a unit circle
• Estimates of the inner radii of non-overlapping domains
• About one extremal problem for open sets and partially non-overlapping domains
• Inequalities for the inner radii of nonoverlapping domains
• Generalization of some extremal problems on non-overlapping domains with free poles
• Problems on extremal decomposition of the Riemann sphere
• Estimates of products of inner radii of non-overlapping domains in the complex plane
• Condenser Capacities and Symmetrization in Geometric Function Theory
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