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Maximal operators on hyperbolic triangles

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Abstract

We characterize the boundedness properties on the spaces \(L^p( \mathbb {H}^2)\) of the maximal operator \(M_\mathcal {B}\) where \(\mathcal {B}\) is an arbitrary family of hyperbolic triangles stable by isometries.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, Winnipeg, Canada

    Romain Branchereau

  2. Ecole Normale Superieure, Paris, France

    Samuel Bronstein

  3. Université Paris-Saclay: Universite Paris-Saclay, Orsay, France

    Anthony Gauvan

Authors
  1. Romain Branchereau
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  2. Samuel Bronstein
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  3. Anthony Gauvan
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Correspondence to Anthony Gauvan.

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Branchereau, R., Bronstein, S. & Gauvan, A. Maximal operators on hyperbolic triangles. Collect. Math. (2023). https://doi.org/10.1007/s13348-023-00419-3

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  • DOI: https://doi.org/10.1007/s13348-023-00419-3

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