COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS

SHAOLIN CHEN; SAMINATHAN PONNUSAMY; ANTTI RASILA

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COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS

机译：平面调和映射上的系数估计，LANDAU定理和Lipschitz型空间

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In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss coefficient estimates and Landau's theorem for some classes of locally univalent harmonic mappings, and then we study some Lipschitz-type spaces for locally univalent and multivalent harmonic mappings.

机译：在本文中，我们研究了局部单价和多价平面谐波映射的性质。首先，我们讨论了某些类别的局部单价谐波映射的系数估计和Landau定理，然后研究了一些Lipschitz型空间用于局部单价和多谐波映射。

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《Journal of the Australian Mathematical Society》 |2014年第2期|共18页
作者
SHAOLIN CHEN; SAMINATHAN PONNUSAMY; ANTTI RASILA;
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正文语种 eng
中图分类数学;
关键词
harmonic mappings; harmonic univalent mappings; Lipschitz space; harmonic Bloch space; Green's theorem;

机译：调和映射;调和一价映射;Lipschitz空间;调和Bloch空间;格林定理;

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1. COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS [J] . SHAOLIN CHEN, SAMINATHAN PONNUSAMY, ANTTI RASILA Journal of the Australian Mathematical Society . 2014,第2期

机译：平面调和映射上的系数估计，LANDAU定理和Lipschitz型空间
2. Landau-type theorems for certain planar harmonic mappings or biharmonic mappings [J] . Zhu Y.-C., Liu M.-S. Complex variables and elliptic equations . 2013,第11a12期

机译：用于某些平面谐波映射或双谐波映射的Landau型定理
3. The Landau–Bloch type theorems for planar harmonic mappings with bounded dilation [J] . Ming-Sheng Liu, Huaihui Chen Journal of Mathematical Analysis and Applications . 2018,第2期

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4. Continuous Selection Theorems and Fixed Point Theorems for Fuzzy Mappings in FC-Spaces [C] . Lu Haishu Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09 . 2009

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5. Fixed point and ergodic theorems for nonexpansive mappings on ultrametric Banach spaces. [D] . Farrier, Sandra N. 2005

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6. Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications [O] . Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen 2020

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7. 3 COEFFICIENT ESTIMATES, LANDAU’S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS [O] . Sh. Chen, S. Ponnusamy, A. Rasila 2016

机译：关于平面谐波映射的3个系数估计，Landau定理和Lipschitz型空间
8. Theorems on Estimating Perturbative Coefficients in Quantum Field Theory and Statistical Physics [R] . Samuel, M. A., Druger, S. D. 2003

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COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANAR HARMONIC MAPPINGS

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