Hyperbolically Convex Functions, Dimension and Capacity

DOI10.1080/02781070290032207zbMath1021.30009OpenAlexW2048547079MaRDI QIDQ4425346

D. Mejía, Christian Pommerenke

Publication date: 10 September 2003

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070290032207

zbMATH Keywords

capacityHausdorff dimensionuniformly perfecthyperbolically convexcomposition sequenceSchottky type

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Capacity and harmonic measure in the complex plane (30C85)

Related Items (4)

Three extremal problems for hyperbolically convex functions ⋮ Approximation of univalent functions by compositions ⋮ A variational method for hyperbolically convex functions ⋮ Dimension distortion of hyperbolically convex maps

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