Title: Weighted Fourier Extension Estimates
Abstract: In this talk, we will survey recent results on weighted Fourier extension estimates and its variants. Such estimates ask for $L^2$ bounds of the Fourier extension operator on $\alpha$-dimensional sets, and they have applications to several problems in PDEs and geometric measure theory, including size of divergence set of Schrodinger solutions, spherical average Fourier decay rates of fractal measures, and Falconer’s distance set problem.
Rachel Greenfeld
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