2022/10/26 by Li, Jianhui
#42B99 (Primary) #53A05 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
paper · doi:10.48550/arxiv.2210.15015
We prove sharp L2 Fourier restriction inequalities for compact, smooth surfaces in ℝ3 equipped with the affine surface measure or a power thereof. The results are valid for all smooth surfaces and the bounds are uniform for all surfaces defined by the graph of polynomials of degrees up to d with bounded coefficients. The primary tool is a decoupling theorem for these surfaces.