Distortion Theorems for Almost Convex Mappings of Order $$\alpha $$ α in Several Complex Variables

2015 ◽  
Vol 39 (4) ◽  
pp. 1363-1377
Author(s):  
Xiaosong Liu ◽  
Taishun Liu ◽  
Qinghua Xu
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Convex Mappings ◽  
Almost Convex ◽  
Distortion Theorems

scholarly journals Some bounds on convex mappings in several complex variables

1994 ◽  
Vol 165 (2) ◽  
pp. 295-320 ◽  
Author(s):  
Carl Fitzgerald ◽  
Carolyn Thomas
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Convex Mappings

Fekete and Szegö problem for a subclass of quasi-convex mappings in several complex variables

2015 ◽  
Vol 10 (6) ◽  
pp. 1461-1472 ◽  
Author(s):  
Qinghua Xu ◽  
Ting Yang ◽  
Taishun Liu ◽  
Huiming Xu
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Convex Mappings

scholarly journals Kernel convergence and biholomorphic mappings in several complex variables

2003 ◽  
Vol 2003 (67) ◽  
pp. 4229-4239 ◽  
Author(s):  
Gabriela Kohr
Keyword(s):  
Unit Ball ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Compact Sets ◽  
Growth Theorem ◽  
Convex Mappings ◽  
Loewner Chains ◽  
Kernel Convergence

We deal with kernel convergence of domains inℂnwhich are biholomorphically equivalent to the unit ballB. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings onB, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of Loewner chains and of starlike and convex mappings onB.

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