---
_id: '65546'
abstract:
- lang: eng
  text: 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:
- first_name: Nikolaos
  full_name: Chalmoukis, Nikolaos
  last_name: Chalmoukis
- first_name: Stefano
  full_name: Meda, Stefano
  last_name: Meda
- first_name: Effie
  full_name: Papageorgiou, Effie
  last_name: Papageorgiou
- first_name: Federico
  full_name: Santagati, Federico
  last_name: Santagati
citation:
  ama: Chalmoukis N, Meda S, Papageorgiou E, Santagati F. Uncentred maximal operators
    with respect to half balls on Damek--Ricci spaces. <i>arXiv:260427839</i>. Published
    online 2026.
  apa: Chalmoukis, N., Meda, S., Papageorgiou, E., &#38; Santagati, F. (2026). Uncentred
    maximal operators with respect to half balls on Damek--Ricci spaces. In <i>arXiv:2604.27839</i>.
  bibtex: '@article{Chalmoukis_Meda_Papageorgiou_Santagati_2026, title={Uncentred
    maximal operators with respect to half balls on Damek--Ricci spaces}, journal={arXiv:2604.27839},
    author={Chalmoukis, Nikolaos and Meda, Stefano and Papageorgiou, Effie and Santagati,
    Federico}, year={2026} }'
  chicago: Chalmoukis, Nikolaos, Stefano Meda, Effie Papageorgiou, and Federico Santagati.
    “Uncentred Maximal Operators with Respect to Half Balls on Damek--Ricci Spaces.”
    <i>ArXiv:2604.27839</i>, 2026.
  ieee: N. Chalmoukis, S. Meda, E. Papageorgiou, and F. Santagati, “Uncentred maximal
    operators with respect to half balls on Damek--Ricci spaces,” <i>arXiv:2604.27839</i>.
    2026.
  mla: Chalmoukis, Nikolaos, et al. “Uncentred Maximal Operators with Respect to Half
    Balls on Damek--Ricci Spaces.” <i>ArXiv:2604.27839</i>, 2026.
  short: N. Chalmoukis, S. Meda, E. Papageorgiou, F. Santagati, ArXiv:2604.27839 (2026).
date_created: 2026-05-03T19:27:27Z
date_updated: 2026-05-03T19:29:33Z
external_id:
  arxiv:
  - '2604.27839'
language:
- iso: eng
project:
- _id: '357'
  name: 'TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie'
publication: arXiv:2604.27839
status: public
title: Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
type: preprint
user_id: '100325'
year: '2026'
...