Distortion and covering theorems of pluriharmonic mappings
DOI10.2298/FIL1709749CzbMath1488.31005arXiv1410.1005MaRDI QIDQ5157475
Shao Lin Chen, Saminathan Ponnusamy
Publication date: 18 October 2021
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1005
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Pluriharmonic and plurisubharmonic functions (31C10) Holomorphic functions of several complex variables (32A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Cites Work
- Equivalent moduli of continuity, Bloch's theorem for pluriharmonic mappings in \(\mathbb{B}^ n\)
- Covering and distortion theorems for planar harmonic univalent mappings
- Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk
- The growth and 1/4-theorems for starlike mappings in \(\mathbb{C}^ n\)
- Bloch functions of several complex variables
- Conformal geometry and quasiregular mappings
- Distortion of quasiregular mappings and equivalent norms on Lipschitz-type spaces
- Smooth quasiregular mappings with branching
- Univalence discs of harmonic locally quasiconformal mappings, and harmonic Bloch functions
- Curvature properties of planar harmonic mappings
- Pluriharmonic mappings and linearly connected domains in \(\mathbb C^n\)
- Stable geometric properties of pluriharmonic and biholomorphic mappings, and Landau-Bloch's theorem
- Smooth quasiregular maps with branching in \(\mathbf R^n\)
- Linear-invariante Familien analytischer Funktionen. I
- Bloch constants in several variables
- The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
- Two-point distortion theorems for harmonic and pluriharmonic mappings
- Uniform Algebras Generated by Holomorphic and Pluriharmonic Functions
- Distortion of locally biholomorphic maps of the N-Ball
- Linear Invariance, Order and Convex Maps in
- Harmonic univalent functions
- Close-to-convex functions and linear-invariant families
- The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings
- Univalence Criteria and Lipschitz-Type Spaces on Pluriharmonic Mappings
- Locally univalent functions with locally univalent derivatives
- On the non-vanishing of the Jacobian in certain one-to-one mappings
- Norm order and geometric properties of holomorphic mappings in \(\mathbb{C}^n\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Distortion and covering theorems of pluriharmonic mappings
