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  • 标题:Lipschitz measures and vector-valued Hardy spaces
  • 本地全文:下载
  • 作者:Magali Folch-Gabayet ; Martha Guzmán-Partida ; Salvador Pérez-Esteva
  • 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*.
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