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 $\hat{I}“(t)=(t,\ddot{I}†(t)),t\in \mathbb{R}n$. When $\ddot{I}†$ satisfies suitable curvatur…