Contractivity of Rudin's diagonal restriction operator for $H^p$ of the polydisc

Ole Fredrik Brevig, Javier Gómez-Serrano, Joaquim Ortega-Cerdà +1

We establish that Rudin's diagonal restriction operator is contractive from the Hardy space $H^p$ of the bidisc to the Bergman space $A^p$ of the disc for $2\le p<\infty$, and cha…