A bounded measurable m is an L^p multiplier whenever e^{i t m} is one whose norm is bounded by e^{c |t|^s} for suitable c > 0 and 0 < s < 1.
Folch-Gabayet and J
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New results on Fourier multipliers on $L^p$: a perspective through unimodular symbols
A bounded measurable m is an L^p multiplier whenever e^{i t m} is one whose norm is bounded by e^{c |t|^s} for suitable c > 0 and 0 < s < 1.