258 citations · 1k across the 35 of their papers we have counts for
38 papers
Finiteness of the Hölder-Brascamp-Lieb Constant Revisited
Philip T. Gressman
Abstract Hölder-Brascamp-Lieb inequalities have become a ubiquitous tool in Fourier analysis in recent years, due in large part to a theorem of Bennett, Carbery, Christ, and Tao (2…
Generalized Sublevel Estimates for Form-Valued Functions and Related Results for Radon-like Transforms
Philip T. Gressman
Motivated by the testing condition for Radon-Brascamp-Lieb multilinear functionals established in arXiv:2201.12201, this paper is concerned with identifying local conditions on smo…
Local curvature of maximally nondegenerate Radon-like transforms
Philip T. Gressman
This paper gives a complete geometric characterization in all dimensions and codimensions of those Radon-like transforms which, up to endpoints, satisfy the largest possible range…
A new type of superorthogonality
Philip T. Gressman, Lillian B. Pierce, Joris Roos +1
We provide a simple criterion on a family of functions that implies a square function estimate on for every even integer . This defines a new type of superorthogona…
On frames of smooth, compactly-supported wave packets adapted to tilings of frequency space
Philip T. Gressman
We establish a broad notion of admissible tilings of frequency space which admit associated wave packet frames with elements which are smooth and compactly supported. The framework…
Testing conditions for multilinear Radon-Brascamp-Lieb inequalities
Philip T Gressman
This paper establishes a necessary and sufficient condition for -boundedness of a class of multilinear functionals which includes both the Brascamp-Lieb inequalities and gener…