Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Kobra Esmaeili; Mikael Lindström

doi:10.1007/s00020-013-2038-4

Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

Kobra Esmaeili
, Mikael Lindström^*

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

73 Sitaatiot (Scopus)

Abstrakti

Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uC_φ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φⁿ of φ. Moreover, we give similar characterizations for boundedness of uC_φ between Zygmund type spaces.

Alkuperäiskieli	Englanti
Sivut	473-490
Sivumäärä	18
Julkaisu	Integral Equations and Operator Theory
Vuosikerta	75
Numero	4
DOI - pysyväislinkit	https://doi.org/10.1007/s00020-013-2038-4
Tila	Julkaistu - huhtik. 2013
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1007/s00020-013-2038-4

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title = "Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms",

abstract = "Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.",

keywords = "Essential norms, Weighted composition operators, Zygmund type spaces",

author = "Kobra Esmaeili and Mikael Lindstr{\"o}m",

year = "2013",

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doi = "10.1007/s00020-013-2038-4",

language = "English",

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pages = "473--490",

journal = "Integral Equations and Operator Theory",

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T1 - Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

AU - Esmaeili, Kobra

AU - Lindström, Mikael

PY - 2013/4

Y1 - 2013/4

N2 - Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.

AB - Let u ∈ H(D) and φ be an analytic self-map of D. We estimate the essential norms of weighted composition operators uCφ acting on Zygmund type spaces in terms of u, φ, their derivatives and the n-th power φn of φ. Moreover, we give similar characterizations for boundedness of uCφ between Zygmund type spaces.

KW - Essential norms

KW - Weighted composition operators

KW - Zygmund type spaces

UR - https://www.scopus.com/pages/publications/84875079562

U2 - 10.1007/s00020-013-2038-4

DO - 10.1007/s00020-013-2038-4

M3 - Article

AN - SCOPUS:84875079562

SN - 0378-620X

VL - 75

SP - 473

EP - 490

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

ER -

Weighted Composition Operators Between Zygmund Type Spaces and Their Essential Norms

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