Composition of operators in Orlicz spaces
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-time...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84265 |
| Acceso en línea: | http://hdl.handle.net/11336/84265 |
| Access Level: | acceso abierto |
| Palabra clave: | INTERPOLATION MAXIMAL FUNCTION ORLICZ SPACE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
|---|