The Hardy-Littlewood property of Banach lattices |
| |
| Authors: | J Garcia-Cuerva R Macias J L Torrea |
| |
| Institution: | (1) Departamento de Matemáticas Módulo C-XVI, Facultad de Ciencias, Universidad Autónoma, 28049 Madrid, Spain;(2) Universidad Nacional del Litoral Conicet, Güemes 3450, 3000 Sante Fé, Argentina;(3) Departamento de Matemáticas Módulo C-XVI, Facultad de Ciencias, Universidad Autónoma, 28049 Madrid, Spain |
| |
| Abstract: | We study a property of a Banach lattice which is characterized by the boundedness in several classical spaces of a version
of the Hardy-Little-wood maximal function obtained by taking the supremum of averages in the order of the lattice. This property
is related to the well known U.M.D. condition.
The first and third authors were partially supported by DGICYT, Spain, under Grant PB 86-108.
The second author was supported by Ministerio de Educación, Spain, under a Sabbatical Grant (1989). |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
