Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
N. Chalmoukis, S. Meda, E. Papageorgiou, F. Santagati, ArXiv:2604.27839 (2026).
Download
No fulltext has been uploaded.
Preprint
| English
Author
Chalmoukis, Nikolaos;
Meda, Stefano;
Papageorgiou, Effie;
Santagati, Federico
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 $(1,\infty]$.
Publishing Year
Journal Title
arXiv:2604.27839
LibreCat-ID
Cite this
Chalmoukis N, Meda S, Papageorgiou E, Santagati F. Uncentred maximal operators with respect to half balls on Damek--Ricci spaces. arXiv:260427839. Published online 2026.
Chalmoukis, N., Meda, S., Papageorgiou, E., & Santagati, F. (2026). Uncentred maximal operators with respect to half balls on Damek--Ricci spaces. In arXiv:2604.27839.
@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} }
Chalmoukis, Nikolaos, Stefano Meda, Effie Papageorgiou, and Federico Santagati. “Uncentred Maximal Operators with Respect to Half Balls on Damek--Ricci Spaces.” ArXiv:2604.27839, 2026.
N. Chalmoukis, S. Meda, E. Papageorgiou, and F. Santagati, “Uncentred maximal operators with respect to half balls on Damek--Ricci spaces,” arXiv:2604.27839. 2026.
Chalmoukis, Nikolaos, et al. “Uncentred Maximal Operators with Respect to Half Balls on Damek--Ricci Spaces.” ArXiv:2604.27839, 2026.
arXiv 
Google Scholar