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math.CA2025
A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve
Anthony Carbery, Zane Kun Li, Yixuan Pang +1
Let be a compact patch of a well-curved curve in with induced Lebesgue measure , and let be the Fourier e…
math.CA2025
Weighted restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions
Zhenbin Cao, Jingyue Li, Changxing Miao +1
We systematically study weighted restriction for quadratic manifolds of arbitrary codimensions by sharp uniform Fourier decay estimates and a refinement of the Du-Zhang metho…