17 citations · 143 across the 39 of their papers we have counts for
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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…
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,…
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…
Oscillatory integral operators with homogeneous phase functions
Robert Schippa
Oscillatory integral operators with -homogeneous phase functions satisfying a convexity condition are considered. For these we show the -estimates for the Fourier ext…