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On Pavlovic’s Theorem in Space

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Abstract

We study higher dimensional counterparts to the well-known theorem of Pavlović (Ann. Acad. Sci. Fenn. Math. 27, 365–372, 2002), that every harmonic quasiconformal mapping of the disk is bi-Lipschitz.

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Author information

Authors and Affiliations

  1. Le Studium, Loire Valley Institute for Advanced Studies, Orleans, Tours, France

    Kari Astala

  2. MAPMO, University of Orleans, Orleans, France

    Kari Astala

  3. Department of Mathematics, University of Helsinki, Helsinki, Finland

    Kari Astala

  4. Faculty of Organizational Sciences, University of Belgrade and Mathematical Institute, SASA, Belgrade, Serbia

    Vesna Manojlović

Authors
  1. Kari Astala
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  2. Vesna Manojlović
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Corresponding author

Correspondence to Kari Astala.

Additional information

K.A. was supported by the Finnish center of excellence in Analysis and Dynamics research, Academy of Finland (SA) grant 12719831.

V.M. was supported by Ministry of Science, Serbia, project OI174024.

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Astala, K., Manojlović, V. On Pavlovic’s Theorem in Space. Potential Anal 43, 361–370 (2015). https://doi.org/10.1007/s11118-015-9475-4

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  • DOI: https://doi.org/10.1007/s11118-015-9475-4

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