Planar harmonic mappings

1990 ◽  
pp. 171-176 ◽  
Author(s):  
Glenn Schober
Keyword(s):  
Harmonic Mappings ◽  
Planar Harmonic Mappings

scholarly journals Estimates on Bloch constants for planar harmonic mappings

2008 ◽  
Vol 337 (2) ◽  
pp. 880-887 ◽  
Author(s):  
Huang Xinzhong
Keyword(s):  
Harmonic Mappings ◽  
Planar Harmonic Mappings

scholarly journals Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings

2013 ◽  
Vol 36 (2) ◽  
pp. 313-324 ◽  
Author(s):  
Shaolin Chen ◽  
Saminathan Ponnusamy ◽  
Xiantao Wang
Keyword(s):  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Harmonic Mappings ◽  
Integral Means ◽  
Area Integral ◽  
Planar Harmonic Mappings

scholarly journals Distortion and covering theorems of pluriharmonic mappings

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2749-2762
Author(s):  
Shaolin Chen ◽  
Saminathan Ponnusamy
Keyword(s):  
Analytic Functions ◽  
Harmonic Mappings ◽  
Classical Approach ◽  
Covering Theorems ◽  
Linear Invariant ◽  
Planar Harmonic Mappings

The linear-invariant families of analytic functions make it possible to obtain well-known results to broader classes of functions, and are often helpful in obtaining simpler proofs along with new results. Based on this classical approach due to Pommerenke, properties (such as bounds for the derivative, covering and distortion) of a corresponding class of locally quasiconformal and planar harmonic mappings are established by Starkov. Motivated by these works, in this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.

scholarly journals Bloch constants for planar harmonic mappings

2000 ◽  
Vol 128 (11) ◽  
pp. 3231-3240 ◽  
Author(s):  
Huaihui Chen ◽  
P. M. Gauthier ◽  
W. Hengartner
Keyword(s):  
Harmonic Mappings ◽  
Planar Harmonic Mappings

scholarly journals Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

2015 ◽  
Vol 115 ◽  
pp. 62-70 ◽  
Author(s):  
Shaolin Chen ◽  
Saminathan Ponnusamy ◽  
Antti Rasila
Keyword(s):  
Harmonic Mappings ◽  
Type Spaces ◽  
Planar Harmonic Mappings

Integral means and coefficient estimates on planar harmonic mappings

2012 ◽  
Vol 37 ◽  
pp. 69-79 ◽  
Author(s):  
Shaolin Chen ◽  
Saminathan Ponnusamy ◽  
Xiantao Wang
Keyword(s):  
Harmonic Mappings ◽  
Coefficient Estimates ◽  
Integral Means ◽  
Planar Harmonic Mappings

A variant of Schwarz-Pick lemma for planar harmonic mappings

2014 ◽  
Vol 44 (8) ◽  
pp. 837-842 ◽  
Author(s):  
JianFeng ZHU
Keyword(s):  
Harmonic Mappings ◽  
Planar Harmonic Mappings

Sharp estimate on univalent radius for planar harmonic mappings with bounded Fréchet derivative

2014 ◽  
Vol 44 (6) ◽  
pp. 685-692 ◽  
Author(s):  
XinZhong HUANG
Keyword(s):  
Sharp Estimate ◽  
Harmonic Mappings ◽  
Planar Harmonic Mappings
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