@article{3a6d218e15f54c9d8173e949daa1ef06,
title = "Radial projection and the Poincar{\'e} metric",
abstract = "Some estimates for the Poincar{\'e} 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.",
author = "Solynin, {A. Yu}",
note = "Funding Information: Theorem 4 is of dissymmetrization nature and follows from the main result of our paper \[8\]. This paper was finished during the author's stay at the University of Helsinki under the support of a CIMO-program. The author sincerely thanks the staff of the Mathematical Department of the University for the wonderful atmosphere and working conditions, and Matti Vuorinen for many useful discussions on the subject of this paper. Funding Information: This research was partially supported by the Russian Foundation for Basic Research, grant 97-01-00259. Translated by A. Yu. Solynin.",
year = "1999",
doi = "10.1007/BF02172471",
language = "English",
volume = "95",
pages = "2267--2275",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
number = "3",
}