IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
COMPOSITION OF OPERATORS IN ORLICZ SPACES
Autor/es:
B. BONGIOANNI AND E. HARBOURE
Revista:
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
Editorial:
Rocky Mountain Math. Consortium
Referencias:
Año: 2008 vol. 38 p. 41 - 60
ISSN:
0035-7596
Resumen:
In this work we find sharp conditions for boundedness on Orlicz spaces of the composition of j operators, each one being of restricted weak type (p, p) for some p > 1, and of strong type (1,1). Particularly, we find necessary and sufficient conditions to obtain modular inequalities for the j-times composition of the Cesàro Maximal function of order alpha. With this pproach we treat a kind of strong maximal function related to Cesàro averages over n-dimensional rectangles.