Abstract
The growth theorem and the 1/2-covering theorem are obtained for the class of normalized biholomorphic convex map**s on bounded convex circular domains, which extend the corresponding results of Sufridge, Thomas, Liu, Gong, Yu, and Wang. The approach is new, which does not appeal to the automorphisms of the domains; and the domains discussed are rather general on which convex map**s can be studied, since the domain may not have a convex map** if it is not convex.
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Project supported by the National Natural Science Foundation of China and the State Education Commission Doctoral Foundation.
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Liu, T., Ren, G. Growth theorem of convex map**s on bounded convex circular domains. Sci. China Ser. A-Math. 41, 123–130 (1998). https://doi.org/10.1007/BF02897437
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DOI: https://doi.org/10.1007/BF02897437