Lp estimates for the biest II. The Fourier case

By Camil Muscalu, Terence Tao, C. Thiele. 2001

73 citations recorded by the source corpus.

Abstract.We prove Lp 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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5deeb92a4a6c679e3c5c700dabb4b648cb3fa6e7

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In Applied Mathematics

1. Camil Muscalu
2. Terence Tao
3. C. Thiele
4. Sanghyuk Lee
5. D. Tataru
6. Zihua Guo
7. Carlos E. Kenig
8. Jonathan Bennett

In Mathematical Physics

1. Camil Muscalu
2. Terence Tao
3. C. Thiele
4. Van H. Vu
5. Zihua Guo
6. D. Tataru
7. Carlos E. Kenig
8. L. Erdős

Citations in the corpus

• A counterexample to a multilinear endpoint question of Christ and Kiselev (2001, background): “amples rely strongly on a certain degeneracy in the phase function P j (−1)jx j on the boundary of the simplex x 1 < ... < x n. If one replaced this phase by P j x j, then we have shown in [9], [10] that the bound (2) in fact holds when p = 2 and n = 3. Indeed this statement is true for generi”