IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Weighted inequalities and a. e. convergence for Poisson integrals in light-cones
Autor/es:
E. DAMEK, G. GARRIGÓS, E. HARBOURE AND J. L. TORREA
Revista:
MATHEMATISCHE ANNALEN
Editorial:
Springer-Verlag
Referencias:
Lugar: Berlin; Año: 2006 vol. 336 p. 727 - 746
ISSN:
0025-5831
Resumen:
We show that the Poisson maximal operator for the tube over the lightcone, P*, is bounded in the weighted space Lp(w) if and only if the weight w(x) belongs to the Muckenhoupt class Ap. We also characterize with a geometric condition related to the intrinsic geometry of the cone , the weights v(x) for which P* is bounded from Lp(v) into Lp(u), for some other weight u(x) > 0. Some applications to a.e. restricted convergence of Poisson integrals are also given.
