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A remark on weak type (1, 1) estimates of Hardy-Littlewood maximal operators on metric spaces acting on dirac measures
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
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Submitter: 数学紀要登録作業用
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