3 papers
math.CA2023
Off-diagonal estimates for the helical maximal function
David Beltran, Jennifer Duncan, Jonathan Hickman
The optimal mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analys…
math.CA2021
A Nonlinear Variant of Ball's Inequality
Jennifer Duncan
We adapt an induction-on-scales argument of Bennett, Bez, Buschenhenke, Cowling, and Flock to establish a global near-monotonicity statement for the nonlinear Brascamp-Lieb functio…
math.CA2020
An Algebraic Brascamp-Lieb Inequality
Jennifer Duncan
We prove a global nonlinear Brascamp-Lieb inequality for a general class of maps, encompassing polynomial and rational maps, as a consequence of the multilinear Kakeya-type inequal…