Geodesic
On Multilinear Fourier Multipliers of Limited Smoothness
Canadian journal of mathematics, Tome 65 (2013) no. 2, pp. 299-330

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DOI

In this paper we prove a certain ${{L}^{2}}$ -estimate for multilinear Fourier multiplier operators with multipliers of limited smoothness. As a consequence, 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.
DOI : 10.4153/CJM-2012-025-9
Mots-clés : 42B15, 42B20, multilinear Fourier multipliers, Hörmander multiplier theorem, Hardy spaces 
Grafakos, Loukas; Miyachi, Akihiko; Tomita, Naohito. On Multilinear Fourier Multipliers of Limited Smoothness. Canadian journal of mathematics, Tome 65 (2013) no. 2, pp. 299-330. doi: 10.4153/CJM-2012-025-9
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     title = {On {Multilinear} {Fourier} {Multipliers} of {Limited} {Smoothness}},
     journal = {Canadian journal of mathematics},
     pages = {299--330},
     year = {2013},
     volume = {65},
     number = {2},
     doi = {10.4153/CJM-2012-025-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2012-025-9/}
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