Local bounds for singular Brascamp-Lieb forms with cubical structure

2021/12/30 by Durcik, Polona, Slavíková, Lenka, Thiele, Christoph · 1 citation
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.15101

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. We allow 2^m-1

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