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On maximal functions for Mikhlin-Hoermander multipliers

Loukas Grafakos·Petr Honzik·Andreas Seeger
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Abstract

Given Mikhlin-H\"ormander multipliers $m_i$, $i=1,..., N$, with uniform estimates we prove an optimal $\sqrt{\log(N+1)}$ bound in $L^p$ for the maximal function $\sup_i|\cF^{-1}[m_i\hat f]|$ and related bounds for maximal functions generated by dilations.

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Loukas Grafakos, Petr Honzik, Andreas Seeger. 2005-01-08. On maximal functions for Mikhlin-Hoermander multipliers. https://arxiv.org/abs/math/0501114

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