Subordination principle and distortion theorems on holomorphic mappings in the space $C\sp{n}$
نویسندگان
چکیده
منابع مشابه
Growth and distortion theorems for a subclass of holomorphic mappings
Let X be a complex Banach space with norm ∥ · ∥, B be the unit ball in X. In this paper, we introduce a class of holomorphic mappings Mg on B. Let f(x) be a normalized locally biholomorphic mappings on B such that (Df(x))−1f(x) ∈ Mg and x = 0 is the zero of order k + 1 of f(x)− x. We investigate the growth theorem for f(x). As applications, the distortion theorems for the Jacobian matrix Jf (z)...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0298046-6