Lipschitz measures and vector-valued Hardy spaces

Magali Folch-Gabayet, Martha Guzmán-Partida and Salvador Pérez-Esteva

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-12

Abstract:

We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual space X * , these spaces can be identified with the duals of the atomic vector-valued Hardy spaces H X p ( ℝ n ) , 0 < p < 1 . We also prove that all these measures have Lipschitz densities. This implies that for every real Banach space X and 0 < p < 1 , the dual H X p ( ℝ n ) ∗ can be identified with a space of Lipschitz functions with values in X * .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:397859

DOI: 10.1155/S0161171201004549

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