Differences of ergodic averages for cesáro bounded operators

• Autores: Ana Lucía Bernardis , M. Lorente, Francisco Javier Martín Reyes , Alberto de la Torre Rodríguez , Teresa Martínez Bravo
• Localización: Quarterly journal of mathematics, ISSN 0033-5606, Vol. 58, Nº. 2, 2007, págs. 137-150
• Idioma: inglés
• DOI: 10.1093/qmath/hal023
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• Resumen

  • 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.