INVESTIGADORES
CABRAL Enrique adrian
artículos
Título:
Extrapolation for Classes of Weights Related to a Family of Operators and Applications
Autor/es:
BONGIOANNI, BRUNO; CABRAL, ENRIQUE ADRIÁN; HARBOURE, ELEONOR
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^infty. This analysis can be applied to a variety of operators appearing in the context of a Schrödinger operator (- Laplaciano + V) where V satisfies a reverse Hölder inequality. In that case the weights involved are a localized version of Muckenhoupt weights.