{"title":"Uncentred maximal operators with respect to half balls on Damek--Ricci spaces","author":[{"full_name":"Chalmoukis, Nikolaos","last_name":"Chalmoukis","first_name":"Nikolaos"},{"full_name":"Meda, Stefano","last_name":"Meda","first_name":"Stefano"},{"full_name":"Papageorgiou, Effie","last_name":"Papageorgiou","first_name":"Effie"},{"first_name":"Federico","last_name":"Santagati","full_name":"Santagati, Federico"}],"date_created":"2026-05-03T19:27:27Z","date_updated":"2026-05-03T19:29:33Z","citation":{"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.","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.","short":"N. Chalmoukis, S. Meda, E. Papageorgiou, F. Santagati, ArXiv:2604.27839 (2026).","mla":"Chalmoukis, Nikolaos, et al. “Uncentred Maximal Operators with Respect to Half Balls on Damek--Ricci Spaces.” <i>ArXiv:2604.27839</i>, 2026.","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} }","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>."},"year":"2026","language":[{"iso":"eng"}],"user_id":"100325","project":[{"_id":"357","name":"TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie"}],"external_id":{"arxiv":["2604.27839"]},"_id":"65546","status":"public","abstract":[{"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 $(1,\\infty]$.","lang":"eng"}],"type":"preprint","publication":"arXiv:2604.27839"}