1 citations · 3 across the 4 of their papers we have counts for
5 papers
Uniform Oscillatory Integral estimates for Convex Phases via Sublevel Set estimates
John Green
We examine the relation between oscillatory integral estimates and sublevel set estimates associated to convex functions. Whilst the former implies the latter in many cases, the re…
Algebraic Stability of Oscillatory Integral Estimates: A Calculus for Uniform Estimates
John Green
Oscillatory integrals arise in many situations where it is important to obtain decay estimates which are stable under certain perturbations of the phase. Examining the structural p…
Oscillating spectral multipliers on groups of Heisenberg type
Roberto Bramati, Paolo Ciatti, John Green +1
We establish endpoint estimates for a class of oscillating spectral multipliers on Lie groups of Heisenberg type. The analysis follows an earlier argument due to the second and fou…
Lower bounds on quasi-norms and the Uniform Sublevel Set Problem
John Green
Recently, Steinerberger proved a uniform inequality for the Laplacian serving as a counterpoint to the standard uniform sublevel set inequality which is known to fail for the Lapla…
On a new type of Inequality related to the Uniform Sublevel Set Problem
John Green
Recently, Steinerberger proved a uniform inequality for the Laplacian serving as a counterpoint to the standard uniform sublevel set inequality which is known to fail for the Lapla…