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Revista Matemática Iberoamericana
Article . 1999 . Peer-reviewed
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Revista Matemática Iberoamericana
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https://dx.doi.org/10.4171/rmi...
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Absolute values of BMOA functions

descriptionPublicationkeyboard_double_arrow_right Article 31 Dec 1999Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 15, pages 451-473 (issn: 0213-2230, eissn: 2235-0616, Copyright policy )
Authors: Dyakonov, Konstantin M.;

doi: 10.4171/rmi/262

Absolute values of BMOA functions

Abstract

The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.

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Keywords

Bloch function, BMOA, Blaschke products, etc.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
gold