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

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	398-408
Number of pages	11
Journal	Bulletin of the Australian Mathematical Society
Volume	81
Issue number	3
DOIs	https://doi.org/10.1017/S0004972709001221
Publication status	Published - Jun 2010
MoE publication type	A1 Journal article-refereed

Keywords

generalized composition operators
Lipschitz spaces
weighted composition operators
Zygmund spaces

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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",

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year = "2010",

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

AU - Lindström, Mikael

AU - Sanatpour, Amir H.

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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

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DO - 10.1017/S0004972709001221

M3 - Article

AN - SCOPUS:77957259183

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VL - 81

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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

Abstract

Keywords

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