Area distortion under some orientation preserving harmonic maps

DOI10.1007/S41478-018-0075-8zbMath1395.30024OpenAlexW2796247921WikidataQ130044113 ScholiaQ130044113MaRDI QIDQ1652002

Yusuf Abu Muhanna, Issam Louhichi

Publication date: 11 July 2018

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

Full work available at URL: https://doi.org/10.1007/s41478-018-0075-8

zbMATH Keywords

hyperbolic metricharmonic univalent mappseudo-hyperbolic metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• On one-to-one harmonic mappings
• Area distortion of quasiconformal mappings
• Lectures on analysis on metric spaces
• Linear Extremal Problems for Harmonic Mappings of the Disk
• Bohr's phenomenon in subordination and bounded harmonic classes
• Area contraction for harmonic automorphisms of the disk
• On harmonic univalent functions
• On the Area Distortion by Quasiconformal Mappings
• On harmonic functions and the Schwarz lemma

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