Jeremy Schwend

activity

20182020

L^{p} \to L^{q}

Estimates for Euclidean Averages Over Prototypical Hypersurfaces in

R^{3}

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

collaborators

3 papers

math.CA2020★ 1 cited

Near Optimal $L^{p} \to L^{q}$ Estimates for Euclidean Averages Over Prototypical Hypersurfaces in $R^{3}$

Jeremy Schwend

We find the precise range of $(p, q)$ for which local averages along graphs of a class of two-variable polynomials in $R^{3}$ are of restricted weak type $(p, q)$ , given the h…

math.CA2019

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…

math.CA2018

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $(φ_{1} (t), φ_{2} (t)), t \in [0, 1]$ for which the $ℓ^{2}$ decoupling conjecture holds for $2 \leq p \leq 6$ . Our class of curves includes all real-analytic r…

Near Optimal Lp→Lq Estimates for Euclidean Averages Over Prototypical Hypersurfaces in R3

Fourier restriction above rectangles

ℓ2 Decoupling in R2 for curves with Vanishing Curvature

Near Optimal $L^{p} \to L^{q}$ Estimates for Euclidean Averages Over Prototypical Hypersurfaces in $R^{3}$

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature