Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 32, 2007, 251-267

DUALITY OF A LARGE FAMILY OF ANALYTIC FUNCTION SPACES

Mikael Lindström and Niklas Palmberg

Åbo Akademi University, Department of Mathematics
Fänriksgatan 3 B, FI-20500 Åbo, Finland; mikael.lindstrom 'at' abo.fi

Åbo Akademi University, Department of Mathematics
Fänriksgatan 3 B, FI-20500 Åbo, Finland; niklas.palmberg 'at' abo.fi

Abstract. We study the predual spaces of a large family of analytic function spaces and thereby extend the recently obtained results by Pavlovic and Xiao.

2000 Mathematics Subject Classification: Primary 46E15; Secondary 47B38, 30D45, 30D50.

Key words: A general family of analytic function spaces, F(p,\alpha,\beta)-spaces, R(p,\alpha,\beta)-spaces, duality, predual, multiplication operator.

Reference to this article: M. Lindström and N. Palmberg: Duality of a large family of analytic function spaces. Ann. Acad. Sci. Fenn. Math. 32 (2007), 251-267.

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