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.
A study guide for the ^2 decoupling theorem for the paraboloid
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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.