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math.CA2026
Decoupling for complex curves and improved decoupling for the cubic moment curve
Robert Schippa
We prove sharp -decoupling inequalities for non-degenerate complex curves via the bilinear argument due to Guo--Li--Yung--Zorin-Kranich, which in turn is inspired by the ef…
math.CA2025
Square function estimates for cones over quadratic manifolds
Robert Schippa
We extend the -square function estimates for the parabola and the half-cone to quadratic manifolds in higher dimensions and their conical extensions. To this end, we require t…
math.CA2024
Generalized square function estimates for curves and their conical extensions
Robert Schippa
We show sharp square function estimates for curves in the plane whose curvature degenerates at a point and estimates sharp up to endpoints for cones over these curves. To this end,…