Sewook Oh

collaborators

3 papers

math.CA2026

Maximal averages and non-transversality

Jin Bong Lee, Juyoung Lee, Jeongtae Oh +1

We investigate the $L^{p}$ mapping properties of maximal functions associated with analytic hypersurfaces in $R^{d}$ , with a particular emphasis on the role of transversality.…

math.CA2025

Damping oscillatory Integrals of convex analytic functions

Sanghyuk Lee, Sewook Oh

Let $H \subset R^{d + 1}$ be a compact, convex, analytic hypersurface of finite type with a smooth measure $I ¨ $ on $H$ . Let $I^º$ denote the Gaussian curvature on $H$ . We consider the…

math.CA2025

Maximal estimates for averages over degenerate hypersurfaces

Sewook Oh

We study $L^{p}$ boundedness of the maximal average over dilations of a smooth hypersurface $S$ . When the decay rate of the Fourier transform of a measure on $S$ is $1/2$ , we establi…