Speaker
Iqra Altaf, University of California
Abstract
Let \(\mu \) be a Frostman measure on an s-dimensional subset of the parabola, where \(s\leq 1/2\). Demeter-Wang showed that \(||\hat{\mu}||_{L^{6}(B_{R})}^{6} \leq C R^{2-2s-s/4}\). We show that there exists \(\sigma(s)\) such that \(||\hat{\mu}||_{L^{6}(B_{R})}^{6} \leq C R^{2-2s-s/4-\sigma(s)}\).