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arXiv · 1711.08719

Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient

Petar Melentijević
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Abstract

The value of the operator norm of Bergman projections from $L^{\infty}(\mathbb{B}^n)$ to Bloch space is found in \cite{KalajMarkovic2014}. The authors of mentioned paper proposed the problem of calculating the norm of the same class of operators with different norm on the Bloch space - $\mathcal{M}$-invariant gradient. Here we prove that it has the conjectured value.

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Petar Melentijević. 2017-11-23. Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient. https://doi.org/10.5186/aasfm.2019.4408

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