IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Differences of ergodic averages for Cesàro bounded operators
Autor/es:
A. BERNARDIS; M. LORENTE; F.J. MARTÍN-REYES; M.T. MARTÍNEZ; A. DE LA TORRE
Revista:
QUARTERLY JOURNAL OF MATHEMATICS
Editorial:
Oxford Univ. Press
Referencias:
Año: 2007 vol. 58 p. 137 - 150
ISSN:
0033-5606
Resumen:
We prove that the weighted differences of ergodic averages,induced by a Ces`aro bounded, strongly continuous,one-parameter group of positive, invertible, linearoperators on $L_p$, $1<p<infty,$ converge a.e. and in the$L^p$ norm. We obtain first the boundedness of the ergodicmaximal operator and the convergence of the averages.