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Quasiconformal Variation of Slit Domains
Clifford J. Earle and Adam Lawrence Epstein
Proceedings of the American Mathematical Society
Vol. 129, No. 11 (Nov., 2001), pp. 3363-3372
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2668882
Page Count: 10
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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.
Proceedings of the American Mathematical Society © 2001 American Mathematical Society