THE DIAMETER CONJECTURE FOR QUASI-CONFORMAL MAPS IS TRUE IN-SPACE

Authors
HEINONEN J
Citation
J. Heinonen, THE DIAMETER CONJECTURE FOR QUASI-CONFORMAL MAPS IS TRUE IN-SPACE, Proceedings of the American Mathematical Society, 123(6), 1995, pp. 1709-1718
Citations number
32
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
6
Year of publication
1995
Pages
1709 - 1718
Database
ISI
SICI code
0002-9939(1995)123:6<1709:TDCFQM>2.0.ZU;2-E
Abstract
The diameter conjecture for quasiconformal maps is a natural generaliz ation of the Hayman-Wu theorem on level sets of a univalent function. Astala, Fernandez, and Rohde recently disproved this conjecture in the plane. Here we show it is true in space.