HAIT Journal of Science and Engineering C
Volume 4, Issues 1-2, pp. 272-294
© 2007 Holon Institute of Technology

 

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


 


Full text PDF (264 KB)