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Sharp constant for the Bergman projection onto the minimal Möbius invariant space

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Abstract

We consider the minimal Möbius invariant space of the unit disk with norm defined in terms of the second derivative. We obtain the best constant for the Bergman projection in this setting. We also show how this result generalizes to Bergman projections with respect to standard weights and beyond.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Helsinki, 00014, Helsinki, Finland

    Antti Perälä

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  1. Antti Perälä
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Correspondence to Antti Perälä.

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The author acknowledges support by the Väisälä foundation of the Finnish Academy of Science and Letters.

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Perälä, A. Sharp constant for the Bergman projection onto the minimal Möbius invariant space. Arch. Math. 102, 263–270 (2014). https://doi.org/10.1007/s00013-014-0624-6

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  • DOI: https://doi.org/10.1007/s00013-014-0624-6

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