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arXiv · 1809.08038

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

Dariusz Kosz
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Abstract

In this article we study a special class of non-doubling metric measure spaces for which there is a significant difference between the incidence of weak and restricted weak type $(p,p)$ inequalities for the centered and non-centered Hardy--Littlewood maximal operators, $M^c$ and $M$. As a corollary we extend the result obtained in [2].

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Dariusz Kosz. 2018-09-21. On relations between weak and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces. https://doi.org/10.4064/sm8724-5-2017

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