Michael Christ, Loukas Grafakos, Petr Honzik, Andreas Seeger
Published 2003-11-28, updated 2004-03-09Version 3
We show that maximal operators formed by dilations of Mikhlin-H"ormander multipliers are typically not bounded on $L^p(R^d)$. We also give rather weak conditions in terms of the decay of such multipliers under which $L^p$ boundedness of the maximal operators holds.
Comments: Final version with improved differentiability assumptions on the multipliers. To appear in Mathematische Zeitschrift
Journal: Mathematische Zeitschrift, 249 (2005), 223-240.
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