Quasiconformal variation of slit domains

Authors
Earle, CJ Epstein, AL
Citation
Cj. Earle et Al. Epstein, Quasiconformal variation of slit domains, P AM MATH S, 129(11), 2001, pp. 3363-3372
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
11
Year of publication
2001
Pages
3363 - 3372
Database
ISI
SICI code
0002-9939(2001)129:11<3363:QVOSD>2.0.ZU;2-I
Abstract
We use quasiconformal variations to study Riemann mappings onto variable si ngle slit domains when the slit is the tail of an appropriately smooth Jord an arc. In the real analytic case our results answer a question of Dieter G aier and show that the function kappa in Lowner's differential equation is real analytic.