Analysis in theory & applications, 2016-06, Vol.32 (3), p.215-231
2016
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Details
- Autor(en) / Beteiligte
- Titel
- Closed Range Composition Operators on a General Family of Function Spaces
- Ist Teil von
- Analysis in theory & applications, 2016-06, Vol.32 (3), p.215-231
- Ort / Verlag
- Department of Mathematics, Faculty of Science, Jazan university, Jazan, KSA
- Erscheinungsjahr
- 2016
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- In this paper, necessary and sufficient conditions for a closed range composition operator CФ on the general family of holomorphic function spaces F（p,q,s） and more generally on α-Besov type spaces F（p,αp-2,s） are given. We give a Carleson measure characterization on F （p, αp - 2, s） spaces, then we indicate how Carleson measures can be used to characterize boundedness and compactness of CФ on F（p,q,s） and F（p,αp- 2,s） spaces.