Explore the existence of functions that saturate the operator norm of the Fourier restriction/extension operator corresponding to the moment curve in Lebesgue spaces in this 30-minute mathematics lecture. Delve into recent research conducted in collaboration with Betsy Stovall, focusing on the moment curve (t, t^2, ..., t^d) and its implications for Fourier analysis. Gain insights into advanced mathematical concepts and their applications in the field of harmonic analysis.