HOLOMORPHIC FUNCTIONS WITH IMAGE OF GIVEN LOGARITHMIC OR ELLIPTIC CAPACITY

DOI10.1017/S1446788712000559zbMath1384.30002MaRDI QIDQ2861571

Dimitrios Betsakos

Publication date: 11 November 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symmetrizationholomorphic functionlogarithmic capacityextremal lengthSchwarz's lemmacondenser capacityelliptic capacityelliptically schlicht function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (3)

Growth theorems for holomorphic functions under geometric conditions for the image ⋮ Growth and monotonicity properties for elliptically schlicht functions ⋮ Multi-point bounds for analytic functions under measure conditions

Cites Work

• Unnamed Item
• Condenser capacity and meromorphic functions
• Elliptic, hyperbolic, and condenser capacity: geometric estimates for elliptic capacity
• Variation of diametrically symmetric or elliptically schlicht conformal mappings
• Elliptic capacity and its distortion under conformal mapping
• Estimates on kernel functions of elliptically schlicht domains
• Area, capacity and diameter versions of Schwarz’s Lemma
• Über vier Klassen schlichter Funktionen

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