Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type
@article{Christ2003MaximalFA,
title={Maximal functions associated with Fourier multipliers of Mikhlin-H{\"o}rmander type},
author={Michael Christ and Loukas Grafakos and Petr Honz{\'i}k and Andreas Seeger},
journal={Mathematische Zeitschrift},
year={2003},
volume={249},
pages={223-240}
}Abstract.We show that maximal operators formed by dilations of Mikhlin- Hörmander multipliers are typically not bounded on Lp(ℝd). We also give rather weak conditions in terms of the decay of such multipliers under which Lp boundedness of the maximal operators holds.
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