26 citations · 101 across the 21 of their papers we have counts for
11 papers · 1 filter
Quasi-extremals for convolution with surface measure on the sphere
Betsy Stovall
If is the operator given by convolution with surface measure on the sphere, is a quasi-extremal pair of sets for if $\langle Tχ_E, χ_F \rangle \gtrsim |E|^{d/(d+1)}…
Scale invariant Fourier restriction to a hyperbolic surface
Betsy Stovall
This result sharpens the bilinear to linear deduction of Lee and Vargas for extension estimates on the hyperbolic paraboloid in to the sharp line, leading to the firs…
Linear and bilinear restriction to certain rotationally symmetric hypersurfaces
Betsy Stovall
Conditional on Fourier restriction estimates for elliptic hypersurfaces, we prove optimal restriction estimates for polynomial hypersurfaces of revolution for which the defining po…
Uniform estimates for Fourier restriction to polynomial curves in
Betsy Stovall
We prove uniform bounds for Fourier restriction to polynomial curves in with affine arclength measure, in the conjectured range.
Uniform -improving for weighted averages on curves
Betsy Stovall
We define variable parameter analogues of the affine arclength measure on curves and prove near-optimal -improving estimates for associated multilinear generalized Radon trans…
Uniform bounds for convolution and restricted X-ray transforms along degenerate curves
Spyridon Dendrinos, Betsy Stovall
We establish endpoint Lebesgue space bounds for convolution and restricted X-ray transforms along curves satisfying fairly minimal differentiability hypotheses, with affine and Euc…
improving multilinear Radon-like transforms
Betsy Stovall
We characterize (up to endpoints) the -tuples for which certain -linear generalized Radon transforms map boundedly i…
Endpoint bounds for integration along certain polynomial curves
Betsy Stovall
We establish strong-type endpoint bounds for the operator given by convolution with affine arclength measure on polynomial curves for $d \ge…
Endpoint Lebesgue estimates for weighted averages on polynomial curves
Michael Christ, Spyridon Dendrinos, Betsy Stovall +1
We establish optimal Lebesgue estimates for a class of generalized Radon transforms defined by averaging functions along polynomial-like curves. The presence of an essentially opti…
Coordinates Adapted to Vector Fields: Canonical Coordinates
Betsy Stovall, Brian Street
Given a finite collection of vector fields on a manifold which span the tangent space at every point, we consider the question of when there is locally a coordinate sys…
Some Problems in Harmonic Analysis
Loukas Grafakos, Diogo Oliveira e Silva, Malabika Pramanik +2
In May 2016, we organized a conference in harmonic analysis in honor of Professor Michael Christ, on the campus of the University of Wisconsin in Madison. We are happy to present s…