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Bounded harmonic maps

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The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmonic maps.

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Authors and Affiliations

  1. CNRS & Université Paris-Saclay, Orsay, France

    Yves Benoist

  2. Université Paris-Saclay, Orsay, France

    Dominique Hulin

Authors
  1. Yves Benoist
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  2. Dominique Hulin
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Correspondence to Yves Benoist.

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Benoist, Y., Hulin, D. Bounded harmonic maps. Geom Dedicata 217, 100 (2023). https://doi.org/10.1007/s10711-023-00836-5

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