A sharp square function estimate for the moment curve in R^3

UBC Science Early Career Award Lecture

To be held at ESB 2012 and on Zoom at https://ubc.zoom.us/j/68285564037?pwd=R2ZpLy9uc2pUYldHT3laK3orakg0dz09

Meeting ID: 682 8556 4037
Passcode: 636252

We will present forthcoming work which proves a sharp \(L^7\) square function estimate for the moment curve in \(\mathbb{R}^3\) using ideas from decoupling theory. Consider a function \(f\) with Fourier support in a small neighborhood
of the moment curve. Partition the neighborhood into box-like subsets and form a square function in the Fourier projections of \(f\) onto these box-like regions. Bounding \(f\) in \(L^p\) by the square function in \(L^p\) is an important way to quantify the cancellation that f has from its specialized Fourier support.

NOTE: There will be a small reception at PIMS (ESB 4133) from 2:30 - 2:55 pm.