We prove almost sharp mixed-norm estimates for the X-ray transform restricted to lines whose directions lie on certain well-curved two dimensional manifolds.
Cite this article
M. Burak Erdoğan, Richard Oberlin, Estimates for the <i>X</i>-ray transform restricted to 2-manifolds. Rev. Mat. Iberoam. 26 (2010), no. 1, pp. 91–114DOI 10.4171/RMI/595