Radial projection and the poincaré metric
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- Solynin, A.Y. J Math Sci (1999) 95: 2267. doi:10.1007/BF02172471
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Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation. Bibliography: 18 titles.