Proves weighted L2 and refined Lp decoupling estimates with lower-dimensional frequency localization for sphere and paraboloid supports, recovering Du-Zhang fractal restriction with improved weight density dependence and advancing Falconer distance set bounds.
Spherical averages of F ourier transforms of measures with finite energy; dimension of intersections and distance sets
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Weighted decoupling with lower-dimensional frequency localization
Proves weighted L2 and refined Lp decoupling estimates with lower-dimensional frequency localization for sphere and paraboloid supports, recovering Du-Zhang fractal restriction with improved weight density dependence and advancing Falconer distance set bounds.