60 citations · 120 across the 10 of their papers we have counts for
11 papers
Sharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distribution
Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +4
We identify the optimal constant and describe all maximizers for the Fourier endpoint extension inequality associated with the moment curve over finite fields. This confirms a conj…
Sharp endpoint extension inequalities for the moment curve on finite fields
Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +3
We investigate the sharp endpoint extension inequality for the moment curve in finite fields. We determine the optimal constant and characterize the maximizers in two complementary…
Smoothness of extremizers for certain inequalities of the Radon transform
Taryn C. Flock
The Radon transform is a bounded operator from of Euclidean space to of the manifold of all affine hyperplanes in for certain exponents depending dimensi…
On extremizing sequences for adjoint Fourier restriction to the sphere
Taryn C. Flock, Betsy Stovall
In this article, we develop a linear profile decomposition for the adjoint Fourier restriction operator associated to the sphere, valid for exponent pairs for w…
On the nonlinear Brascamp-Lieb inequality
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +2
We prove a nonlinear variant of the general Brascamp-Lieb inequality. Instances of this inequality are quite prevalent in analysis, and we illustrate this with substantial applicat…
The nonlinear Brascamp-Lieb inequality for simple data
Jonathan Bennett, Neal Bez, Stefan Buschenhenke +1
We establish a nonlinear generalisation of the classical Brascamp-Lieb inequality in the case where the Lebesgue exponents lie in the interior of the finiteness polytope. As a coro…
A sharp -plane Strichartz inequality for the Schrödinger equation
Jonathan Bennett, Neal Bez, Taryn C. Flock +2
We prove that where is the solution to the linear time-dependent Schrödinger equation on …
Behaviour of the Brascamp--Lieb constant
Jonathan Bennett, Neal Bez, Michael G. Cowling +1
Recent progress in multilinear harmonic analysis naturally raises questions about the local behaviour of the best constant (or bound) in the general Brascamp--Lieb inequality as a…
Stability of the Brascamp-Lieb constant and applications
Jonathan Bennett, Neal Bez, Taryn C. Flock +1
We prove that the best constant in the general Brascamp-Lieb inequality is a locally bounded function of the underlying linear transformations. As applications we deduce certain ve…
Cases of equality in certain multilinear inequalities of Hardy-Riesz-Brascamp-Lieb-Luttinger type
Michael Christ, Taryn C. Flock
Certain rearrangement inequalities of a type considered by Hardy, Riesz, and Brascamp-Lieb-Luttinger are studied. Subsets of the real line that extremize these inequalities are cha…
Uniqueness of extremizers for an endpoint inequality of the -plane transform
Taryn C. Flock
The -plane transform is a bounded operator from $\lp$ to of the Grassmann manifold of all affine -planes in for certain exponents depending on and . In th…