Philip T. Gressman

activity

20032025

most citedGlobal Classical Solutions of the Boltzmann Equation without Angular Cut-off

258 citations · 1k across the 35 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 1 cited

Higher decay inequalities for multilinear oscillatory integrals

Maxim Gilula, Philip T. Gressman, Lechao Xiao

In this paper we establish sharp estimates (up to logarithmic losses) for the multilinear oscillatory integral operator studied by Phong, Stein, and Sturm and Carbery and Wright on…

math.CA2016

Generalized curvature for certain Radon-like operators of intermediate dimension

Philip T. Gressman

This paper establishes $L^{p}$ -improving estimates for a variety of Radon-like transforms which integrate functions over submanifolds of intermediate dimension. In each case, the res…

math.CA2016

Fourier extension for extremal quadratic submanifolds

Philip T. Gressman

This note establishes the full range of $L^{p}$ -- $L^{q}$ Fourier extension estimates for the model $n$ -dimensional quadratic submanifold in $R^{n (n + 3) /2}$ parametrized by $γ(…