6 citations · 13 across the 6 of their papers we have counts for
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Bilinear restriction estimates for surfaces of codimension bigger than one
Jong-Guk Bak, Jungjin Lee, Sanghyuk Lee
In connection with the restriction problem in for hypersurfaces including the sphere and paraboloid, the bilinear (adjoint) restriction estimates have been extensivel…
Restriction of Fourier transforms to some complex curves
Jong-Guk Bak, Seheon Ham
The purpose of this paper is to prove a Fourier restriction estimate for certain 2-dimensional surfaces in , . These surfaces are defined by a complex curve $γ(z…
Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure
Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger
Consider the Fourier restriction operator associated to a curve in , . We prove for various classes of curves the endpoint restricted strong type estimate with respect…
Extensions of the Stein-Tomas theorem
Jong-Guk Bak, Andreas Seeger
We prove an endpoint version of the Stein-Tomas restriction theorem, for a general class of measures, and with a strengthened Lorentz space estimate. A similar improvement is obtai…
Restriction of Fourier transforms to curves, II: Some classes with vanishing torsion
Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger
We consider the Fourier restriction operators associated to certain degenerate curves in R^d for which the highest torsion vanishes. We prove estimates with respect to affine arcle…
Restriction of Fourier transforms to curves and related oscillatory integrals
Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate curves in , , and related estimates for oscillatory integral oper…