The discrete maximal operator in metric spaces |
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Authors: | Daniel Aalto Juha Kinnunen |
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Affiliation: | (1) Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan |
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Abstract: | We study the action of the so-called discrete maximal operator on Newtonian, Hölder and BMO spaces on metric measure spaces equipped with a doubling measure and a Poincaré inequality. The discrete maximal operator has better regularity properties than the standard Hardy-Littlewood maximal operator and hence is a more flexible tool in this context. |
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