INVESTIGADORES
OMBROSI Sheldy Javier
artículos
Título:
Calderón weights as Muckenhoupt weights
Autor/es:
JAVIER DUOANDIKOEXTEA ; F.J. MARTÍN-REYES ; SHELDY OMBROSI
Revista:
INDIANA UNIVERSITY MATHEMATICS JOURNAL
Editorial:
INDIANA UNIV MATH JOURNAL
Referencias:
Año: 2013 vol. 62 p. 890 - 890
ISSN:
0022-2518
Resumen:
The Calderon operator S is the sum of the the Hardyaveraging operator and its adjoint. The weights w for which Sis bounded on Lp(w) are the Calderon weights of the class Cp.We give a new characterization of the weights in Cp by a singlecondition which allows us to see that Cp is the class of Muckenhouptweights associated to a maximal operator dened through a basisin (0;1). The same condition characterizes the weighted weaktypeinequalities for 1 < p < 1, but that the weights for thestrong type and the weak type di er for p = 1. We also provethat the weights in Cp do not behave like the usual Ap weightswith respect to some properties and, in particular, we answer anopen question on extrapolation for Muckenhoupt bases without theopenness property.