# 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 30, recommender: Ozawa Tohru Hardy-Littlewood maximal operator, weak type (1, 1) estimate, operator norm, dirac measure 42-xx FOURIER ANALYSIS 852