2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169401The Lp operator norm of the generalized Beurling-Ahlfors transformation in n variables is at most (n/2+1)(p-1) for p>2. This improves on earlier results in all dimensions n>2. The proof is based on the heat extension and relies at the bottom on Burkholder's sharp inequality for martingale transforms.12 pages, submitted for publicationClassical Analysis and ODEsProbability42B20; 60G46text