Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces

Mikael Lindström; Amir H. Sanatpour

doi:10.1017/S0004972709001221

Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces

Mikael Lindström^*, Amir H. Sanatpour

^*Tämän työn vastaava kirjoittaja

Mathematics

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

12 Sitaatiot (Scopus)

Abstrakti

We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlovis corresponding result for bounded composition operators between analytic Lipschitz spaces.

Alkuperäiskieli	Englanti
Sivut	398-408
Sivumäärä	11
Julkaisu	Bulletin of the Australian Mathematical Society
Vuosikerta	81
Numero	3
DOI - pysyväislinkit	https://doi.org/10.1017/S0004972709001221
Tila	Julkaistu - kesäk. 2010
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1017/S0004972709001221

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title = "Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces",

abstract = "We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlovis corresponding result for bounded composition operators between analytic Lipschitz spaces.",

keywords = "generalized composition operators, Lipschitz spaces, weighted composition operators, Zygmund spaces",

author = "Mikael Lindstr{\"o}m and Sanatpour, {Amir H.}",

year = "2010",

month = jun,

doi = "10.1017/S0004972709001221",

language = "English",

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journal = "Bulletin of the Australian Mathematical Society",

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TY - JOUR

T1 - Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces

AU - Lindström, Mikael

AU - Sanatpour, Amir H.

PY - 2010/6

Y1 - 2010/6

N2 - We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlovis corresponding result for bounded composition operators between analytic Lipschitz spaces.

AB - We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend Pavlovis corresponding result for bounded composition operators between analytic Lipschitz spaces.

KW - generalized composition operators

KW - Lipschitz spaces

KW - weighted composition operators

KW - Zygmund spaces

UR - http://www.scopus.com/inward/record.url?scp=77957259183&partnerID=8YFLogxK

U2 - 10.1017/S0004972709001221

DO - 10.1017/S0004972709001221

M3 - Article

AN - SCOPUS:77957259183

SN - 0004-9727

VL - 81

SP - 398

EP - 408

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces

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