On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity
Given a sublinear operator T satisfying that T f Lp (ν) ≤ C p-1 f Lp (µ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that ∞ λν f (y) dy T 1/r sup |f (x)|(1 + log+ |f (x)|) dµ(x). r.
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:138518 |
| Acceso en línea: | https://ddd.uab.cat/record/138518 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_02 |
| Access Level: | acceso abierto |
| Palabra clave: | Extrapolation Boundeness of operators Endpoint estimates |
| Sumario: | Given a sublinear operator T satisfying that T f Lp (ν) ≤ C p-1 f Lp (µ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that ∞ λν f (y) dy T 1/r sup |f (x)|(1 + log+ |f (x)|) dµ(x). r. |
|---|