From the 1 of 5 linked papers with an AI index.
5 papers
Existence of maximizers for Fourier extension from the hyperbolic paraboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
The paper proves that for the Fourier extension operator associated with the three‑dimensional hyperbolic paraboloid, maximizers exist for the inequality and that any…
Bochner-Riesz means on the Heisenberg group
Detlef Müller, Lars Niedorf, Andreas Seeger +1
We prove new boundedness results for Bochner-Riesz means associated with the spectral decomposition of the sub-Laplacian on the Heisenberg group . Our results ho…
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…
Exponentials rarely maximize Fourier extension inequalities for cones
Giuseppe Negro, Diogo Oliveira e Silva, Betsy Stovall +1
We prove the existence of maximizers and the precompactness of -normalized maximizing sequences modulo symmetries for all valid scale-invariant Fourier extension inequalities…
Sharp Fourier restriction to monomial curves
Chandan Biswas, Betsy Stovall
We establish lower bounds for the operator norms of the Fourier restriction/extension operators associated to monomial curves with affine arclength measure. Furthermore, we prove t…