The Bloch Space on the Unit Ball of a Hilbert Space: Maximality and Multipliers

Pablo Galindo; Mikael Lindström

doi:10.1007/s10473-021-0316-9

The Bloch Space on the Unit Ball of a Hilbert Space: Maximality and Multipliers

Pablo Galindo, Mikael Lindström

Mathematics

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Abstract

We prove that, as in the finite dimensional case, the space of Bloch functions on the unit ball of a Hilbert space contains, under very mild conditions, any semi-Banach space of analytic functions invariant under automorphisms. The multipliers for such Bloch space are characterized and some of their spectral properties are described.

Original language	English
Pages (from-to)	899-906
Number of pages	7
Journal	Acta Mathematica Scientica
Volume	41
Issue number	3
DOIs	https://doi.org/10.1007/s10473-021-0316-9
Publication status	Published - 19 Apr 2021
MoE publication type	A1 Journal article-refereed

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10.1007/s10473-021-0316-9

maximalityAccepted author manuscript, 301 KBLicence: CC BY-NC-ND

https://urn.fi/URN:NBN:fi-fe202201148520

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AB - We prove that, as in the finite dimensional case, the space of Bloch functions on the unit ball of a Hilbert space contains, under very mild conditions, any semi-Banach space of analytic functions invariant under automorphisms. The multipliers for such Bloch space are characterized and some of their spectral properties are described.

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The Bloch Space on the Unit Ball of a Hilbert Space: Maximality and Multipliers

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