On the Boundedness of Hypersingular Integrals Along Certain Radial Hypersurfaces

Sajin Vincent A W, Aniruddha Deshmukh, Vijay Kumar Sohani

We study a class of oscillatory hypersingular integral operators associated to a radial hypersurface of the form $\Gamma (t)=(t,\phi (t)),t\in \mathbb{R}n$. When $\phi$ satisfies suitable curvature a…