Carathéodory and Smirnov type theorems for harmonic mappings of the unit disk onto surfaces

DOI10.5186/AASFM.2013.3822zbMath1297.30005OpenAlexW2316675947MaRDI QIDQ2860884

Marijan Marković, David Kalaj, Miodrag S. Mateljević

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2013.3822

zbMATH Keywords

isoperimetric inequalityharmonic mappingsharmonic surfacesCarathéodory type theoremRiesz-Zygmund inequality.Smirnov's theorem

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Inequalities in the complex plane (30A10)

Related Items (8)

Harmonic quasiconformal mappings between \(\mathcal{C}^1\) smooth Jordan domains ⋮ Lindelöf theorem for harmonic mappings ⋮ Minimal surfaces and Schwarz lemma ⋮ A sharp inequality for harmonic diffeomorphisms of the unit disk ⋮ Quasiconformal maps with controlled Laplacian ⋮ Schwarz lemma, and distortion for harmonic functions via length and area ⋮ Quasiconformal mappings with controlled Laplacian and Hölder continuity ⋮ Muckenhoupt weights and Lindelöf theorem for harmonic mappings

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