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

Complex Variables 2023-07-06 v2

Abstract

The value of the operator norm of Bergman projections from L(Bn)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 - M\mathcal{M}-invariant gradient. Here we prove that it has the conjectured value.

Keywords

Cite

@article{arxiv.1711.08719,
  title  = {Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient},
  author = {Petar Melentijević},
  journal= {arXiv preprint arXiv:1711.08719},
  year   = {2023}
}

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8 pages