We investigate the boundedness of the triple Hilbert transform along the surface given by the graph of a real polynomial of three variables. We are interested in understanding the relationship between the geometric properties of the Newton polyhedron of and the analytic property of boundedness.
Cite this article
Anthony Carbery, Stephen Wainger, James Wright, Triple Hilbert transforms along polynomial surfaces in . Rev. Mat. Iberoam. 25 (2009), no. 2, pp. 471–519