9 citations · 48 across the 22 of their papers we have counts for
25 papers
Littlewood, Paley and Almost-Orthogonality: a theory well ahead of its time
Anthony Carbery
Littlewood--Paley theory began with the classic paper of Littlewood and Paley (J.\ E.\ Littlewood, R.\ E.\ A.\ C.\ Paley, {\em Theorems on Fourier Series and Power Series}. J. Lond…
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…
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…
Some sharp inequalities of Mizohata--Takeuchi-type
Anthony Carbery, Marina Iliopoulou, Hong Wang
Let be a strictly convex, compact patch of a hypersurface in , with non-vanishing Gaussian curvature and surface measure induced by the Lebesgue measur…
Non-Transversal Multilinear Duality and Joints
Anthony Carbery, Michael Chi Yung Tang
We develop a framework for a duality theory for general multilinear operators which extends that for transversal multilinear operators which has been established in arXiv:1809.0244…
A variational proof of a disentanglement theorem for multilinear norm inequalities
Anthony Carbery, Timo S. Hänninen, Stefán Ingi Valdimarsson
The basic disentanglement theorem established by the present authors states that estimates on a weighted geometric mean over (convex) families of functions can be disentangled into…