English

Maximal operators on hyperbolic triangles

Classical Analysis and ODEs 2023-05-10 v1

Abstract

We characterize the boundedness properties on the spaces Lp(H2)L^p(\mathbb{H}^2) of the maximal operator MBM_\mathcal{B} where B\mathcal{B} is an arbitrary family of hyperbolic triangles stable by isometries.

Keywords

Cite

@article{arxiv.2305.05283,
  title  = {Maximal operators on hyperbolic triangles},
  author = {Anthony Gauvan and Samuel Bronstein and Romain Branchereau},
  journal= {arXiv preprint arXiv:2305.05283},
  year   = {2023}
}
R2 v1 2026-06-28T10:29:35.412Z