The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
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Publication:3082325
DOI10.1090/S0002-9939-2010-10659-7zbMath1234.30024OpenAlexW1969257001MaRDI QIDQ3082325
Huai Hui Chen, Paul M. Gauthier
Publication date: 10 March 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10659-7
Related Items (26)
The Landau-Bloch type theorems for \(K\)-quasiregular pluriharmonic mappings ⋮ Bloch's theorem for heat mappings ⋮ Precise values of the Bloch constants of certain log-\(p\)-harmonic mappings ⋮ Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in \(\mathbb{B}^ n\) ⋮ On the fixed point method and Bloch's theorem ⋮ Covering and distortion theorems for planar harmonic univalent mappings ⋮ Bloch and Landau type theorems for pluriharmonic mappings ⋮ Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk ⋮ Closed range composition operators on the Bloch space of bounded symmetric domains ⋮ Estimates on Bloch constants for certain \(\log\)-\(p\)-harmonic mappings ⋮ Estimate on the Bloch constant for certain harmonic mappings under a differential operator ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Harmonic Lipschitz type spaces and composition operators meet majorants ⋮ Harmonic mappings in Bergman spaces ⋮ Distortion and covering theorems of pluriharmonic mappings ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ Schwarzian derivatives for pluriharmonic mappings ⋮ COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS ⋮ Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces ⋮ Landau-type theorems for certain bounded biharmonic mappings ⋮ Landau-Bloch type theorems for strongly bounded harmonic mappings ⋮ Another look at the Landau theorem ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ On pluriharmonic \(\nu\)-Bloch-type mappings and hyperbolic-harmonic mappings ⋮ Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem
Cites Work
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- On one-to-one harmonic mappings
- On the size of balls covered by analytic transformations
- On Bloch's constant
- Bloch constants in several variables
- On Bloch's Constant
- Lewy's theorem fails in higher dimensions.
- Holomorphic Mappings of Bounded Distortion
- Bloch constants for planar harmonic mappings
- Landau and Bloch theorems for harmonic mappings
- On the non-vanishing of the Jacobian in certain one-to-one mappings
- An Extension of Schwarz's Lemma
- Bloch’s theorem for real variables
- Estimates on Bloch constants for planar harmonic mappings
- Normal families of holomorphic mappings
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