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On maximal functions for Mikhlin-Hoermander multipliers

Loukas Grafakos, Petr Honzik, Andreas Seeger

math.CAarXiv:math/0501114

Abstract

Given Mikhlin-Hörmander multipliers mi, i=1,..., N, with uniform estimates we prove an optimal (N+1) bound in Lp for the maximal function i|-1[mi f]| and related bounds for maximal functions generated by dilations.

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