3 citations · 4 across the 3 of their papers we have counts for
7 papers
On the Shape Fields Finiteness Principle
Fushuai Jiang, Garving K. Luli, Kevin O'Neill
In this paper, we improve the finiteness constant for the finiteness principles for and selection proven by…
A Quantitative Stability Theorem for Convolution on the Heisenberg Group
Kevin O'Neill
Although convolution on Euclidean space and the Heisenberg group satisfy the same bounds with the same optimal constants, the former has maximizers while the latter does not.…
Oscillatory Loomis-Whitney and Projections of Sublevel Sets
Maxim Gilula, Kevin O'Neill, Lechao Xiao
We consider an oscillatory integral operator with Loomis-Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in and satisfies a nond…
Decay Rate of n-Linear Oscillatory Integral Operators in
Aleksandra Niepla, Kevin O'Neill, Zhen Zeng
In this paper, we prove decay estimates for multilinear oscillatory integrals in , establishing sharpness through a scaling argument. The result in this paper i…
A Sharpened Inequality for Twisted Convolution
Kevin O'Neill
Consider the trilinear form for twisted convolution on : \begin{equation*} \mathcal{T}_t(\mathbf{f}):=\iint f_1(x)f_2(y)f_3(x+y)e^{itσ(x,y)}dxdy,\end{equation*} wh…
Maximizers of Rogers-Brascamp-Lieb-Luttinger functionals in higher dimensions
Michael Christ, Kevin O'Neill
A symmetrization inequality of Rogers and of Brascamp-Lieb-Luttinger states that for a certain class of multilinear integral expressions, among tuples of sets of prescribed Lebesgu…