Quasiconformal variation of slit domains
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- by Clifford J. Earle and Adam Lawrence Epstein PDF
- Proc. Amer. Math. Soc. 129 (2001), 3363-3372 Request permission
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 $\kappa$ in Löwner’s differential equation is real analytic.References
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Additional Information
- Clifford J. Earle
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- Email: cliff@math.cornell.edu
- Adam Lawrence Epstein
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- Address at time of publication: Department of Mathematics, University of Warwick, Coventry CV4 7AL, England
- Email: adame@math.cornell.edu, adame@maths.warwick.ac.uk
- Received by editor(s): January 27, 2000
- Received by editor(s) in revised form: March 24, 2000
- Published electronically: January 29, 2001
- Additional Notes: The second author was supported in part by NSF Grant DMS 9803242.
- Communicated by: Albert Baernstein II
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3363-3372
- MSC (2000): Primary 30C20, 30C62
- DOI: https://doi.org/10.1090/S0002-9939-01-05991-3
- MathSciNet review: 1845014