INMABB   05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
A boundedness criterion for general maximal operators
Autor/es:
ANDREI LERNER Y SHELDY OMBROSI
Revista:
PUBLICACIONS MATEMATIQUES
Referencias:
Año: 2008
ISSN:
0214-1493
Resumen:
We consider maximal operators MB with respect to
a basis B. In the case when MB satisfies a reversed weak type
inequality, we obtain a boundedness criterion for MB on an arbitrary
quasi-Banach function space X. Being applied to specificMB with respect to
a basis B. In the case when MB satisfies a reversed weak type
inequality, we obtain a boundedness criterion for MB on an arbitrary
quasi-Banach function space X. Being applied to specificB. In the case when MB satisfies a reversed weak type
inequality, we obtain a boundedness criterion for MB on an arbitrary
quasi-Banach function space X. Being applied to specificMB on an arbitrary
quasi-Banach function space X. Being applied to specificX. Being applied to specific
B and X this criterion yields new and short proofs of a number
of well-known results. Our principal application is related to an
open problem on the boundedness of the two-dimensional one-sided
maximal function M+ on Lp
w.and X this criterion yields new and short proofs of a number
of well-known results. Our principal application is related to an
open problem on the boundedness of the two-dimensional one-sided
maximal function M+ on Lp
w.M+ on Lp
w..