期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2001
卷号:25
DOI:10.1155/S0161171201004549
出版社:Hindawi Publishing Corporation
摘要: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 HXp(ℝn), 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 HXp(ℝn)∗ can be identified with a space of
Lipschitz functions with values in X*.