Moduli of doubly connected domains under univalent harmonic maps

DOI10.1007/S12220-022-00895-2zbMath1496.31001OpenAlexW4213146324MaRDI QIDQ2117502

Abdallah Lyzzaik, Daoud Bshouty, Antti H. Rasila, Allu Vasudevarao

Publication date: 21 March 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-00895-2

zbMATH Keywords

Schwarz-Christoffel transformationshomeomorphismunivalent harmonic mappingsanalytic dilatationaffine capacitymodulus of doubly connected domainsTeichmüller-Nitsche problem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic maps, etc. (58E20)

Related Items (1)

Nitsche type inequality for hyperbolic harmonic mappings between annuli in the unit ball \(\mathbb{B}^3\)

Cites Work

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• Harmonic maps between annuli on Riemann surfaces
• The harmonic mapping problem and affine capacity
• THE MODULUS OF THE IMAGE ANNULI UNDER UNIVALENT HARMONIC MAPPINGS AND A CONJECTURE OF NITSCHE
• On the Module of Doubly-Connected Regions Under Harmonic Mappings
• Harmonic univalent functions
• The Nitsche conjecture
• Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche

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