江西科学2026，Vol.44Issue(2)：281-286,6.DOI:10.13990/j.issn1001-3679.2026.02.011
边极大算子在有限图上的2-范数的最优界
Optimal Bounds of 2-Norms of Edge Maximal Operators on Finite Graphs
摘要
Abstract
Let G is a connected finite graph,where V and E denote the vertex set and edge set,respectively.MG is defined as the centered Hardy-Littlewood maximal operator.When the conditions are satisfied:1)G=Kn and n≥3;2)G=Sn and n≥4,the definition of MG is ex-tended from point set to edge set to construct ME,thereby obtaining the optimal bound for the norm of ‖ME‖2.关键词
边极大算子/有限图/2-范数/最优界/完全图/星形图Key words
edge maximal operator/finite graph/2-norms/optimal bounds/complete graph/star graph分类
数理科学引用本文复制引用
周梦凡,叶晓峰..边极大算子在有限图上的2-范数的最优界[J].江西科学,2026,44(2):281-286,6.基金项目
国家自然科学基金资助项目(11661035) （11661035）
江西省研究生创新专项资金项目(YC2024-S404). （YC2024-S404）
