Composition Operators on Some Banach Spaces of Harmonic Mappings

We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.

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Bibliographic Details
Published in:Journal of function spaces 2020, Vol.2020 (2020), p.1-11
Main Authors: Aljuaid, Munirah, Colonna, Flavia
Format: Article
Language:English
Subjects:
Analytic functions
Banach spaces
Composition
Function space
Operators
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Summary:We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space, the analytic Besov spaces, and the space BMOA.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/9034387