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L p estimates for the biest II. The Fourier case

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Abstract.

We prove L p estimates (Theorem 1.2) for the ‘‘biest’’, a trilinear multiplier operator with singular symbol. The methods used are based on the treatment of the Walsh analogue of the biest in the prequel [13] of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.

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Correspondence to Christoph Thiele.

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Muscalu, C., Tao, T. & Thiele, C. L p estimates for the biest II. The Fourier case. Math. Ann. 329, 427–461 (2004). https://doi.org/10.1007/s00208-003-0508-8

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