Local bounds for singular Brascamp-Lieb forms with cubical structure

Abstract

We prove a range of L p bounds for singular Brascamp-Lieb forms with cubical structure.We pass through sparse and local bounds, the latter proved by an iteration of Fourier expansion, telescoping, and the Cauchy-Schwarz inequality.

Keywords

• Local bounds
• singular
• Brascamp–Lieb
• cubical structure