A. Carbery

collaborators

3 papers

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 $I^$ be a compact patch of a well-curved $C^{n + 1}$ curve in $R^{n}$ with induced Lebesgue measure $d I^»$ , and let $g \mapsto g d I^»$ be the Fourie…

math.CA2024

Some sharp inequalities of Mizohata--Takeuchi-type

Anthony Carbery, Marina Iliopoulou, Hong Wang

Let $I^£$ be a strictly convex, compact patch of a $C^{2}$ hypersurface in $R^{n}$ , with non-vanishing Gaussian curvature and surface measure $d I ¨ $ induced by the Lebesgue meas…

math.FA2024

On some integral-geometric quantities related to transversality, curvature and visibility

Silouanos Brazitikos, Anthony Carbery, Finlay McIntyre

We consider some integral-geometric quantities that have recently arisen in harmonic analysis and elsewhere, derive some sharp geometric inequalities relating them, and place them…