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Quasiconformal variation of slit domains
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Earle, Clifford J. and Epstein, Adam L. (2001) Quasiconformal variation of slit domains. American Mathematical Society. Proceedings, Vol.129 (No.11). pp. 3363-3372. doi:10.1090/S0002-9939-01-05991-3 ISSN 0002-9939.
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Official URL: http://dx.doi.org/10.1090/S0002-9939-01-05991-3
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | 2001 | ||||
Dates: |
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Volume: | Vol.129 | ||||
Number: | No.11 | ||||
Page Range: | pp. 3363-3372 | ||||
DOI: | 10.1090/S0002-9939-01-05991-3 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | National Science Foundation (U.S.) (NSF) | ||||
Grant number: | DMS 9803242 (NSF) |
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