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# A remark on weak type (1, 1) estimates of Hardy-Littlewood maximal operators on metric spaces acting on dirac measures

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 Title: A remark on weak type (1, 1) estimates of Hardy-Littlewood maximal operators on metric spaces acting on dirac measures Authors: Terasawa, Yutaka Browse this author Keywords: Hardy-Littlewood maximal operator weak type (1 1) estimate operator norm dirac measure Issue Date: 2005 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 721 Start Page: 1 End Page: 7 Abstract: We consider weak type $(1,1)$ type estimates of Hardy-Littlewood maximal operators on a compact metric space with Radon measure, and also on a $\sigma$-compact metric space with Radon measure. We show that the analogus results with M. Trinidad Menarguez and F. Sorias' hold in these settings if we impose some conditions on metric measure spaces. Type: bulletin (article) URI: http://hdl.handle.net/2115/69530 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics