Convergence of multiple ergodic averages along cubes for several commuting transformations
Volume 196 / 2010
Studia Mathematica 196 (2010), 13-22
MSC: 37A05, 37A30.
DOI: 10.4064/sm196-1-2
Abstract
We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the “magic extension” established recently by B. Host.
