Some Optimizations for (Maximal) Multipliers in $L^p$

Abstract

We use Oberlin, Nazarov, and Thiele's Multi-Frequency Calderón-Zygmund decomposition to lower estimates on maximal multipliers in $L^p$. We also improve on classical multiplier results of Coifman, Rubio de Francia, and Semmes.

19 pages

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