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

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

1 Sitaatiot (Scopus)

23 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	899-906
Sivumäärä	7
Julkaisu	Acta Mathematica Scientica
Vuosikerta	41
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1007/s10473-021-0316-9
Tila	Julkaistu - 19 huhtik. 2021
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1007/s10473-021-0316-9

maximalityHyväksytty kirjoittajan käsikirjoitus, 301 KBLisenssi: CC BY-NC-ND

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

Viittausmuodot

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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

Abstrakti

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