Resumen de Double Hilbert transform along real-analytic surfaces in Rd+2

Malabika Pramanik, Chan Woo Yang

• We give a necessary and sufficient condition for the double Hilbert transform on d+2 to be bounded on Lp, 1 < p < . This generalizes a result of Carbery, Wainger and Wright [Duke Math. J. 101 (2000) 499�513] for d = 1.