Abstract
In this article, we first establish the sharp distortion theorems of the Fréchet derivative for a subclass of starlike mappings on the unit ball of complex Banach spaces and the bounded starlike circular domain in $\mathbb{C}^n$. Meanwhile, we also obtain the sharp distortion theorems of the Jacobi determinant for a subclass of starlike mappings on the bounded starlike circular domain in $\mathbb{C}^n$. Our derived conclusions are the generalizations of some known results in several complex variables and the classical results in one complex variable.
Citation
Xiaosong Liu. Taishun Liu. "ON THE SHARP DISTORTION THEOREMS FOR A SUBCLASS OF STARLIKE MAPPINGS IN SEVERAL COMPLEX VARIABLES." Taiwanese J. Math. 19 (2) 363 - 379, 2015. https://doi.org/10.11650/tjm.19.2015.4833
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