Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 38, 2013, 849-853

BLOCH SPACE AND THE NORM OF THE BERGMAN PROJECTION

Antti Perälä

University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 Helsinki, Finland; antti.i.perala 'at' helsinki.fi

Abstract. In this note we calculate the norm of the Bergman projection from the space of essentially bounded functions to the Bloch space. We complement author's earlier results in [6] and their generalizations in [5].

2010 Mathematics Subject Classification: Primary 30H30, 32A25.

Key words: Bergman projection, Bloch space, operator norm.

Reference to this article: A. Perälä: Bloch space and the norm of the Bergman projection. Ann. Acad. Sci. Fenn. Math. 38 (2013), 849-853.

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doi:10.5186/aasfm.2013.3850