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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.27839 |
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| _version_ | 1866913076958199808 |
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| author | Chalmoukis, Nikolaos Meda, Stefano Papageorgiou, Effie Santagati, Federico |
| author_facet | Chalmoukis, Nikolaos Meda, Stefano Papageorgiou, Effie Santagati, Federico |
| contents | 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 $(1,\infty]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27839 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uncentred maximal operators with respect to half balls on Damek--Ricci spaces Chalmoukis, Nikolaos Meda, Stefano Papageorgiou, Effie Santagati, Federico Functional Analysis 43A85, 58C99 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 $(1,\infty]$. |
| title | Uncentred maximal operators with respect to half balls on Damek--Ricci spaces |
| topic | Functional Analysis 43A85, 58C99 |
| url | https://arxiv.org/abs/2604.27839 |