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BMO-quasiconformal mappings

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Abstract

Plane BMO-quasiconformal and BMO-quasiregular mappings are introduced, and their basic properties are studied. This includes distortion, existence, uniqueness, representation, integrability, convergence and removability theorems, the reflection principle, boundary behavior and mapping properties.

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Authors and Affiliations

  1. Institute of Applied Mathematics & Mechanics, Nasu, R. Luxembourg 74, 340114, Donetsk, Ukraine

    V. Ryazanov

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

    U. Srebro

  3. Holon Academic Institute of Technology, 52 Golomb St., Holon, Israel

    E. Yakubov

Authors
  1. V. Ryazanov
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  2. U. Srebro
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  3. E. Yakubov
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Correspondence to V. Ryazanov.

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To Olli Martio on his 60th birthday

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Ryazanov, V., Srebro, U. & Yakubov, E. BMO-quasiconformal mappings. J. Anal. Math. 83, 1–20 (2001). https://doi.org/10.1007/BF02790254

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  • DOI: https://doi.org/10.1007/BF02790254

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