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

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

13 Citeringar (Scopus)

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	398-408
Antal sidor	11
Tidskrift	Bulletin of the Australian Mathematical Society
Volym	81
Nummer	3
DOI	https://doi.org/10.1017/S0004972709001221
Status	Publicerad - juni 2010
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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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",

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doi = "10.1017/S0004972709001221",

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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

UR - https://www.scopus.com/pages/publications/77957259183

U2 - 10.1017/S0004972709001221

DO - 10.1017/S0004972709001221

M3 - Article

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

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