Subordination chains and biholomorphic mappings on bounded balanced pseudoconvex domains
Let Omega be a bounded balanced pseudoconvex domain with e(t) plurisubharmonic defining functions in C(n) and let f(z, t) be a univalent subordination chain such that z = 0 is a zero of order k + 1 of e(-t) f(z, t) - z for each t >= 0. In this paper, we study several properties for f (., 0), concerning the growth, covering theorems and coefficient bounds. These results generalize the related works of Hamada and Kohr. (C) 2011 Elsevier Ltd. All rights reserved.
subordination chains pseudoconvex domains coefficient bounds growth and covering theorem