Hardy spaces of vector-valued functions

Research output

16 Citations (Scopus)

Abstract

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
Volume16
Issue number3
DOIs
Publication statusPublished - 1 Jun 1981
Externally publishedYes

    Fingerprint

Scopus subject areas

  • Mathematics(all)

Cite this