5 citations · 9 across the 7 of their papers we have counts for
11 papers
On extremizing sequences for adjoint Fourier restriction to the sphere
Taryn C. Flock, Betsy Stovall
In this article, we develop a linear profile decomposition for the adjoint Fourier restriction operator associated to the sphere, valid for exponent pairs for w…
Restriction inequalities for the hyperbolic hyperboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three di…
Fourier restriction above rectangles
Jeremy Schwend, Betsy Stovall
In this article, we study the problem of obtaining Lebesgue space inequalities for the Fourier restriction operator associated to rectangular pieces of the paraboloid and perturbat…
Extremizability of Fourier restriction to the paraboloid
Betsy Stovall
In this article, we prove that all global, nonendpoint Fourier restriction inequalities for the paraboloid in have extremizers and that -normalized extremizi…
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)}…
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…