Earle, Clifford J. and Epstein, Adam L.. (2001) Quasiconformal variation of slit domains. American Mathematical Society. Proceedings, Vol.129 (No.11). pp. 3363-3372. ISSN 0002-9939

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Abstract

We use quasiconformal variations to study Riemann mappings onto variable single slit domains when the slit is the tail of an appropriately smooth Jordan arc. In the real analytic case our results answer a question of Dieter Gaier and show that the function κ in Löwner's differential equation is real analytic.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Quasiconformal mappings, Geometry, Riemannian
Journal or Publication Title:	American Mathematical Society. Proceedings
Publisher:	American Mathematical Society
ISSN:	0002-9939
Date:	2001
Volume:	Vol.129
Number:	No.11
Page Range:	pp. 3363-3372
Identification Number:	10.1090/S0002-9939-01-05991-3
Status:	Peer Reviewed
Access rights to Published version:	Open Access
Funder:	National Science Foundation (U.S.) (NSF)
Grant number:	DMS 9803242 (NSF)
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URI:	http://wrap.warwick.ac.uk/id/eprint/4293

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