@unpublished{65546,
  abstract     = {{In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly, such modified maximal operator has better boundedness properties than the classical one. In particular, it satisfies an $L\log L$ endpoint estimate and it is bounded on $L^p$ for every $p$ in $(1,\infty]$.}},
  author       = {{Chalmoukis, Nikolaos and Meda, Stefano and Papageorgiou, Effie and Santagati, Federico}},
  booktitle    = {{arXiv:2604.27839}},
  title        = {{{Uncentred maximal operators with respect to half balls on Damek--Ricci spaces}}},
  year         = {{2026}},
}