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Finite mean oscillation and the Beltrami equation

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Abstract

We prove the existence and uniqueness of homeomorphic ACL solutions to the Beltrami equation in the case when the dilatation coefficient of the equation has a majorant of finite mean oscillation.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, NAS of Ukraine, ul. Roza Luxemburg 74, 83114, Donetsk, Ukraine

    Vladimir Ryazanov

  2. Department of Mathematics, Technion - Israel Institute of Technology, 32000, Haifa, Israel

    Uri Srebro

  3. Holon Academic Institute of Technology, 52 Golomb St., P.O.Box 305, 58102, Holon, Israel

    Eduard Yakubov

Authors
  1. Vladimir Ryazanov
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  2. Uri Srebro
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  3. Eduard Yakubov
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Correspondence to Vladimir Ryazanov.

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Ryazanov, V., Srebro, U. & Yakubov, E. Finite mean oscillation and the Beltrami equation. Isr. J. Math. 153, 247–266 (2006). https://doi.org/10.1007/BF02771785

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  • DOI: https://doi.org/10.1007/BF02771785

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