On maximal functions for Mikhlin-Hoermander multipliers

Details On maximal functions for Mikhlin-Hoermander multipliers On maximal functions for Mikhlin-Hoermander multipliers

2005-01-08

arxiv.org/abs/math/0501114v1

Advances in Mathematics, 204 (2006), 363-378.

Mathematics

Classical Analysis and ODEs

Scientific paper

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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