Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 37, 2012, 245-249

ON THE OPTIMAL CONSTANT FOR THE BERGMAN PROJECTION ONTO THE BLOCH SPACE

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 obtain the best constant for the Bergman projection from L^\infty onto the Bloch space. We also consider the question for the projection from C(\overline D) onto the little Bloch space.

2010 Mathematics Subject Classification: Primary 47B35.

Key words: Bergman projection, Bloch space.

Reference to this article: A. Perälä: On the optimal constant for the Bergman projection onto the Bloch space. Ann. Acad. Sci. Fenn. Math. 37 (2012), 245-249.

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doi:10.5186/aasfm.2012.3722