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Starlike and convex
mappings in several complex variables
Keizō Kikuchi |
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Vol. 44 (1973), No. 2, 569–580
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Abstract |
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In this paper, using the Bergman kernel function KD(z,z), we give necessary and sufficient conditions that a pseudoconformal mapping f(z) be starlike or convex in some bounded schlicht domain D for which the kernel function KD(z,z) becomes infinitely large when the point z ∈ D approaches the boundary of D in any way. We also consider starlike and convex mappings from the polydisk or unit hypersphere into Cn. |
Mathematical Subject Classification 2000
Primary: 32H10
Secondary: 32A30, 30A32
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Milestones
Received: 21 October 1972
Published: 1 February 1973
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Authors |
| Keizō Kikuchi | |
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