IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Multilinear Cesàro maximal operators
Autor/es:
A. L. BERNARDIS; R. CRESCIMBENI; F.J. MARTÍN-REYES
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2013 vol. 397 p. 191 - 204
ISSN:
0022-247X
Resumen:
The study of the almost everywhere convergence of the product of m Cesàro-α averages leads to the characterization of the boundedness of the associated multi(sub)linear maximal operator. We characterize weighted weak type and strong type inequalities for this operator, extending results by Lerner et al. [A. Lerner, S. Ombrosi, C. Pérez, R. Torres, R. Trujillo-González, New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory, Adv. Math. 220 (2009) 1222?1264.]. We also study the restricted weak type inequalities which are of particular interest in our case (they were not considered by Lerner et al.).
