A remark on Fefferman-Stein's inequalities
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It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein’s inequality can be taken smaller than those operators for which such an inequality is known to be true.
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Rakotondratsimba, Yves. “A remark on Fefferman-Stein’s inequalities”. Collectanea Mathematica, vol.VOL 49, no. 1, pp. 1-8, https://raco.cat/index.php/CollectaneaMathematica/article/view/56435.