Bloch and Landau type theorems for pluriharmonic mappings

DOI10.1142/S0129167X22500537zbMath1495.31017arXiv2202.07918OpenAlexW4221142442WikidataQ113777551 ScholiaQ113777551MaRDI QIDQ5093596

Ming-Sheng Liu, Saminathan Ponnusamy

Publication date: 28 July 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07918

zbMATH Keywords

harmonic mappingspluriharmonic mappingsBloch-type theoremsLandau-type theorems

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Pluriharmonic and plurisubharmonic functions (31C10)

Cites Work

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• Properties of some classes of planar harmonic and planar biharmonic mappings
• Coefficient estimates and Landau-Bloch's constant for planar harmonic mappings
• On pluriharmonic \(\nu\)-Bloch-type mappings and hyperbolic-harmonic mappings
• The Landau-Bloch type theorems for planar harmonic mappings with bounded dilation
• Harmonic maps and ideal fluid flows
• Landau-Bloch type theorems for strongly bounded harmonic mappings
• A harmonic maps approach to fluid flows
• The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
• Lewy's theorem fails in higher dimensions.
• Holomorphic Quasiregular Mappings
• Holomorphic Mappings of Bounded Distortion
• Bloch constants for planar harmonic mappings
• Harmonic univalent functions
• Sharp estimate on univalent radius for planar harmonic mappings with bounded Fréchet derivative
• Landau and Bloch theorems for harmonic mappings
• COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS
• Landau's theorem for planar harmonic mappings
• Estimates on Bloch constants for planar harmonic mappings

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