GROWTH THEOREM OF CONVEX MAPPINGS ON BOUNDED CONVEX CIRCULAR DOMAINS

The growth theorem and the 1/2-covering theorem are obtained for the c lass of normalized biholomorphic convex mappings on bounded convex cir cular domains, which extend the corresponding results of Sufridge, Tho mas, Liu, Gong, Yu, and wang. The approach is new, which does not appe al to the automorphisms of the domains; and the domains discussed are rather general on which convex mappings can be studied, since the doma in may not have a convex mapping if it is not convex.