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Resumen de Differences of ergodic averages for cesáro bounded operators

Ana Lucía Bernardis Árbol académico, M. Lorente, Francisco Javier Martín Reyes Árbol académico, Alberto de la Torre Rodríguez Árbol académico, Teresa Martínez Bravo

  • We prove that the weighted differences of ergodic averages, induced by a Cesàro bounded, strongly continuous, one-parameter group of positive, invertible, linear operators on Lp, 1 < p < , converge almost every where and in the Lp-norm. We obtain first the boundedness of the ergodic maximal operator and the convergence of the averages.

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