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1. CJM 2012 (vol 65 pp. 299)
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On Multilinear Fourier Multipliers of Limited Smoothness In this paper,
we prove certain $L^2$-estimate
for multilinear Fourier multiplier operators
with multipliers of limited smoothness.
As a result,
we extend the result of Calderón and Torchinsky
in the linear theory to the multilinear case.
The sharpness of our results and some
related estimates in Hardy spaces
are also discussed.
Keywords:multilinear Fourier multipliers, Hörmander multiplier theorem, Hardy spaces Categories:42B15, 42B20 |