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On relations between weak and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces (1809.08038v1)

Published 21 Sep 2018 in math.CA

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, $Mc$ and $M$. As a corollary we extend the result obtained in [2].

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