Hardy spaces of vector-valued functions

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16 Citations (Scopus)


The purpose of this paper is to consider the relations among the various definitions of the spaces Hp of analytic functions with values in a Banach space and to investigate the problem of the structure of the conjugates of these spaces. In particular, one constructs an example of a reflexive separable Banach space χ, for which the equality Hp(X)*=Hp′(X*) (1<p<∞,1/p+1/p′=1) ails.

Original languageEnglish
Pages (from-to)1051-1059
Number of pages9
JournalJournal of Soviet Mathematics
Issue number3
Publication statusPublished - 1 Jun 1981
Externally publishedYes


Scopus subject areas

  • Mathematics(all)

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