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The Nonlinear Superposition Operators Between Zygmund-Type and Bloch-Type Spaces
- Source :
- Mediterranean Journal of Mathematics. 16
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- Let $$\varphi $$ be a complex-valued function in the plane $${\mathbb {C}}.$$ The superposition operator is defined by $$ S_\varphi (f)=\varphi \circ f$$ . In this paper, we characterize the nonlinear superposition operators $$S_\varphi $$ acting between the Zygmund-type and Bloch-type spaces in terms of the order and type or the degree of $$\varphi $$ .
- Subjects :
- Superposition operator
Mathematics::Functional Analysis
Pure mathematics
Degree (graph theory)
Plane (geometry)
General Mathematics
010102 general mathematics
Order (ring theory)
Function (mathematics)
Type (model theory)
01 natural sciences
010101 applied mathematics
Nonlinear superposition
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 16605454 and 16605446
- Volume :
- 16
- Database :
- OpenAIRE
- Journal :
- Mediterranean Journal of Mathematics
- Accession number :
- edsair.doi...........b3a9c6666951f76e62b147150f49fe13