IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Extrapolation for Classes of Weights Related to a Family of Operators and Applications
Autor/es:
BONGIOANNI, B. ; CABRAL, A. ; HARBOURE, E
Revista:
POTENTIAL ANALYSIS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2013 vol. 38 p. 1207 - 1232
ISSN:
0926-2601
Resumen:
In this work we give extrapolation results on weighted Lebesgue spaces for weights associated to a family of operators. The starting point for the extrapolation can be the knowledge of boundedness on a particular Lebesgue space as well as the boundedness on the extremal case L ∞. This analysis can be applied to a variety of operators appearing in the context of a Schrödinger operator ( −Δ + V) where V satisfies a reverse Hölder inequality. In that case the weights involved are a localized version of Muckenhoupt weights.
