Essential norm estimates for composition operators on BMOA

Pablo Galindo; Jussi Laitila; Mikael Lindström

doi:10.1016/j.jfa.2013.05.002

Essential norm estimates for composition operators on BMOA

Pablo Galindo^*, Jussi Laitila, Mikael Lindström

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Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

17 Sitaatiot (Scopus)

Abstrakti

We provide two function-theoretic estimates for the essential norm of a composition operator C_φ acting on the space BMOA; one in terms of the n-th power φⁿ of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of C_φ is comparable to its essential norm on the Bloch space.

Alkuperäiskieli	Englanti
Sivut	629-643
Sivumäärä	15
Julkaisu	Journal of Functional Analysis
Vuosikerta	265
Numero	4
DOI - pysyväislinkit	https://doi.org/10.1016/j.jfa.2013.05.002
Tila	Julkaistu - 15 elok. 2013
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1016/j.jfa.2013.05.002

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abstract = "We provide two function-theoretic estimates for the essential norm of a composition operator Cφ acting on the space BMOA; one in terms of the n-th power φn of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of Cφ is comparable to its essential norm on the Bloch space.",

keywords = "BMOA, Bounded mean oscillation, Compactness, Composition operator, Essential norm, VMOA",

author = "Pablo Galindo and Jussi Laitila and Mikael Lindstr{\"o}m",

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T1 - Essential norm estimates for composition operators on BMOA

AU - Galindo, Pablo

AU - Laitila, Jussi

AU - Lindström, Mikael

PY - 2013/8/15

Y1 - 2013/8/15

N2 - We provide two function-theoretic estimates for the essential norm of a composition operator Cφ acting on the space BMOA; one in terms of the n-th power φn of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of Cφ is comparable to its essential norm on the Bloch space.

AB - We provide two function-theoretic estimates for the essential norm of a composition operator Cφ acting on the space BMOA; one in terms of the n-th power φn of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of Cφ is comparable to its essential norm on the Bloch space.

KW - BMOA

KW - Bounded mean oscillation

KW - Compactness

KW - Composition operator

KW - Essential norm

KW - VMOA

UR - http://www.scopus.com/inward/record.url?scp=84878645352&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2013.05.002

DO - 10.1016/j.jfa.2013.05.002

M3 - Article

AN - SCOPUS:84878645352

SN - 0022-1236

VL - 265

SP - 629

EP - 643

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

ER -

Essential norm estimates for composition operators on BMOA

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