Citation
Z. Balogh et M. Bonk, Lengths of radii under conformal maps of the unit disc, P AM MATH S, 127(3), 1999, pp. 801-804
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
3
Year of publication
1999
Pages
801 - 804
Database
ISI
SICI code
0002-9939(199903)127:3<801:LORUCM>2.0.ZU;2-4
Abstract
If E-f(R) is the set of endpoints of radii which have length greater than o
r equal to R > 0 under a conformal map f of the unit disc, then cap E-f(R)
= O(R-1/2), R --> infinity for the logarithmic capacity of E-f(R). The expo
nent -1/2 is sharp.