Abstract
In this paper, we consider some circular domains. And we give an extension theorem for some normalized biholomorphic convex mapping on some circular domains. Especially, we discover the normalized biholomorphic convex mapping on some circular domains have the form f(z) = (\( \bar f \) 1(z 1),…, \( \bar f \) n (z n )), where \( \bar f \) j : D → ℂ are normalized biholomorphic convex mapping.
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Hong, Y., Chen, W. Convex mappings on some circular domains. Sci. China Math. 53, 1265–1274 (2010). https://doi.org/10.1007/s11425-009-0184-6
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DOI: https://doi.org/10.1007/s11425-009-0184-6