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.
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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).
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Garcia-Cuerva, J., Macias, R. & Torrea, J.L. The Hardy-Littlewood property of Banach lattices. Israel J. Math. 83, 177–201 (1993). https://doi.org/10.1007/BF02764641
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DOI: https://doi.org/10.1007/BF02764641