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Quasiconformal variation of slit domains

By Clifford J. Earle and Adam L. Epstein

Abstract

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

Topics: QA
Publisher: American Mathematical Society
Year: 2001
OAI identifier: oai:wrap.warwick.ac.uk:4293

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