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Boundary behavior ofμ-homeomorphisms

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Abstract

We provide conditions on the complex dilatation of a homeomorphismf of the upper half plane ℍ into ℂ, which guarantee thatf(ℍ) is a proper subset of ℂ and, in case wheref(ℍ) is a Jordan domain, thatf has a homeomorphic extension onto\(\bar {\mathbb{H}}\).

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Authors and Affiliations

  1. Technion — Israel, Institute of Technology, 32000, Haifa, Israel

    Uri Srebro

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

    Eduard Yakubov

Authors
  1. Uri Srebro
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  2. Eduard Yakubov
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Correspondence to Uri Srebro.

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Srebro, U., Yakubov, E. Boundary behavior ofμ-homeomorphisms. Isr. J. Math. 141, 249–261 (2004). https://doi.org/10.1007/BF02772222

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  • DOI: https://doi.org/10.1007/BF02772222

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