- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Boundedness of the strong maximal operator with the Hausdorff content Bull. Korean Math. Soc. 2019 Vol. 56, No. 2, 399-406 https://doi.org/10.4134/BKMS.b180286Published online March 1, 2019 Hiroki Saito Nihon University Abstract : Let $n$ be the spatial dimension. For $d$, $0 < d \leq n$, let $H^{d}$ be the $d$-dimensional Hausdorff content. The purpose of this paper is to prove the boundedness of the dyadic strong maximal operator on the Choquet space $L^{p}(H^{d},\mathbb R^n)$ for $\min(1,d) < p$. We also show that our result is sharp. Keywords : strong maximal operator, Hausdorff content MSC numbers : Primary 42B25; Secondary 42B35 Downloads: Full-text PDF   Full-text HTML