A refinement about estimation of expansion coefficients for normalized biholomorphic mappings

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LIU Xiaosong
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1Department of Mathematics University of Science and Technology of China Hefei 230026 China


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A refining estimation of homogeneous expansion for f is discussed, where f belongs to a subclass of all normalized biholomorphic mappings defined on the unit polydisk in Cn or the unit ball in complex Banach spaces, and x=0 is a zero of order k+1 of f(x)-x. Moreover, an estimation of homogeneous expansion for subordinate mappings defined on the unit ball in complex Banach spaces is also given.


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