HAIT Journal of Science and Engineering C Volume 4, Issues 1-2, pp. 272-294 © 2007 Holon Institute of Technology | |||||
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Ring homeomorphisms and the Beltrami equation
Vladimir Ryazanov1, Uri Srebro2,3 and Eduard
Yakubov 3,*
1Institute of Applied Mathematics and Mechanics, | NAS of Ukraine, ul. Roze Luxemburg 74, Donetsk 83114, Ukraine 2Technion - Israel Institute of Technology, Haifa 32000, Israel 3Holon Institute of Technology, 52 Golomb St., Holon 58102, Israel *Corresponding author: yakubov@hait.ac.il Received 8 December 2005, accepted 2 February 2006
| We study ring homeomorphisms and, on this base, obtain a series of theorems on existence of the so-called ring solutions for the Beltrami equation. In particular, we give new existence criteria in terms of functions of finite mean oscillation. 2000 Mathematics Subject Classification: Primary 30C65; Secondary 30C75
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