If f is a function supported on the truncated paraboloid in and E is the corresponding extension operator, then we prove that for all , . The proof combines Wolff’s two ends argument with polynomial partitioning techniques. We also observe some geometric structures in the wave packets.
"A restriction estimate in using brooms." Duke Math. J. 171 (8) 1749 - 1822, 1 June 2022. https://doi.org/10.1215/00127094-2021-0064