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Filomat
Article . 2022 . Peer-reviewed
License: CC 0
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arXiv.org e-Print Archive
Preprint . 2022
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https://dx.doi.org/10.48550/ar...
Article . 2022
License: CC 0
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Essential norm of composition operators on Harmonic Bloch spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2022Publisher:National Library of SerbiaJournal:Filomat, volume 36, pages 3,105-3,118 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: Estaremi, Y.; Esmaeili, S.; Ebadian, A.;

doi: 10.2298/fil2209105e , 10.48550/arxiv.2202.04326

arXiv: http://arxiv.org/abs/2202.04326

Essential norm of composition operators on Harmonic Bloch spaces

Abstract

In this paper we characterize essential norm of composition operators on the spaces of Harmonic Bloch functions. We obtain some upper and lower bounds for the essential norm of composition operators between Harmonic Bloch function spaces. In some cases we find exact value of the essential norm such as in Theorems 2.7 and 2.11. These results extends the similar results that were proven for composition operators on Bloch spaces.

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Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

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citations
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!
1
Average
Average
Average
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