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

Preprint Series # 721
Terasawa, Yutaka A remark on weak type (1, 1) estimates of Hardy-Littlewood maximal operators on metric spaces acting on dirac measures. (2005);

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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.

Item Type:Preprint
Additional Information:30, recommender: Ozawa Tohru
Uncontrolled Keywords:Hardy-Littlewood maximal operator, weak type (1, 1) estimate, operator norm, dirac measure
Subjects:42-xx FOURIER ANALYSIS
ID Code:852