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arXiv · 1709.06357

On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces

Dariusz Kosz
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Abstract

In this article we characterize all possible cases that may occur in the relations between the sets of $p$ for which weak type $(p,p)$ and strong type $(p,p)$ inequalities for the Hardy--Littlewood maximal operators, both centered and non-centered, hold in the context of general metric measure spaces.

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Dariusz Kosz. 2017-09-19. On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces. https://arxiv.org/abs/1709.06357

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