Distortion Theorems for Normalized Biholomorphic Quasi-convex Mappings

In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball Bn r...

Full description

Saved in:
Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 33; no. 9; pp. 1242 - 1248
Main Authors Zhang, Xiao Fei, Liu, Tai Shun, Xie, Yong Hong
Format Journal Article
LanguageEnglish
Published Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.09.2017
Springer Nature B.V
Subjects
Boundary value problems
Distortion
Mathematical analysis
Mathematics
Mathematics and Statistics
Theorems
32A30
Schwarz lemma at the boundary
Distortion theorem
32H02
quasi-convex mappings
Online AccessGet full text

Cover

More Information
Summary:In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball Bn respectively.
Bibliography:Distortion theorem, quasi-convex mappings, Schwarz lemma at the boundary
In this paper, we will use the Schwarz lemma at the boundary to character the distortion theorems of determinant at the extreme points and distortion theorems of matrix on the complex tangent space at the extreme points for normalized locally biholomorphic quasi-convex mappings in the unit ball Bn respectively.
11-2039/O1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-017-6220-5