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

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

1 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	899-906
Antal sidor	7
Tidskrift	Acta Mathematica Scientica
Volym	41
Nummer	3
DOI	https://doi.org/10.1007/s10473-021-0316-9
Status	Publicerad - 19 apr. 2021
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Åtkomst av dokument

10.1007/s10473-021-0316-9

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

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Licens: CC BY-NC-ND
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The Bloch Space on the Unit Ball of a Hilbert Space: Maximality and Multipliers

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