Artículos de revistas
Extrapolation for classes of weights related to a family of operators and applications
Fecha
2013-05Registro en:
Bongioanni, Bruno; Cabral, A.; Harboure, Eleonor Ofelia; Extrapolation for classes of weights related to a family of operators and applications; Springer; Potential Analysis; 38; 4; 5-2013; 1207-1232
0926-2601
CONICET Digital
CONICET
Autor
Bongioanni, Bruno
Cabral, A.
Harboure, Eleonor Ofelia
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.