L p estimates for the biest II. The Fourier case

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.

Locations

• Mathematische Annalen - View
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF
• Mathematische Annalen - View
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF