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.
On the refined S trichartz estimates
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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.