On the analytic part of univalent harmonic mappings
DOI10.1007/s11785-017-0757-2zbMath1393.30014OpenAlexW2788382179MaRDI QIDQ722268
Le Anh Xuan, Iigiz R. Kayumov, Saminathan Ponnusamy
Publication date: 23 July 2018
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-017-0757-2
Schwarz-Pick lemmaintegral meansdisk automorphismharmonic (analytic) Hardy spacesharmonic univalent and convex mappingsKoebe transformrotation theorem
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) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Hardy spaces (30H10)
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- Integral smoothness properties of some harmonic mappings
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