info:eu-repo/semantics/article
Composition of operators in Orlicz spaces
Fecha
2008-12Registro en:
Bongioanni, Bruno; Harboure, Eleonor Ofelia; Composition of operators in Orlicz spaces; Rocky Mt Math Consortium; Rocky Mountain Journal Of Mathematics; 38; 1; 12-2008; 41-59
0035-7596
CONICET Digital
CONICET
Autor
Bongioanni, Bruno
Harboure, Eleonor Ofelia
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 (∞, ∞). Particularly, we find necessary and sufficient conditions to obtain modular inequalities for the j-times composition of the Cesàro maximal function of order α. With this approach we treat a kind of strong maximal function related to Cesàro averages over n-dimensional rectangles.