The Nonlinear Superposition Operators Between Zygmund-Type and Bloch-Type Spaces

Let φ be a complex-valued function in the plane C . The superposition operator is defined by S φ ( f ) = φ ∘ f . In this paper, we characterize the nonlinear superposition operators S φ acting between the Zygmund-type and Bloch-type spaces in terms of the order and type or the degree of φ .

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2019-04, Vol.16 (2), p.1-19, Article 39
Main Authors: Liang, Yu-Xia, Zhou, Ze-Hua
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Operators
Superposition (mathematics)
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Summary:Let φ be a complex-valued function in the plane C . The superposition operator is defined by S φ ( f ) = φ ∘ f . In this paper, we characterize the nonlinear superposition operators S φ acting between the Zygmund-type and Bloch-type spaces in terms of the order and type or the degree of φ .
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-019-1304-3