The nonlinear superposition operators between some analytic function spaces. (English) Zbl 1516.30070
Summary: In this paper we characterize the nonlinear superposition operators mapping the space \(\mathcal{Q}_s\) into the Dirichlet-type space \(\mathcal{D}^p_\alpha\) and answer basically the remaining open cases provided by P. Galanopoulos et al. [Math. Anal. Appl. 463, No. 2, 659–680 (2018; Zbl 1398.30039)]. Meanwhile, we give some sufficient-necessary conditions for the superposition operators between \(\mathcal{Q}_s\) spaces in all cases.
MSC:
| 30H25 | Besov spaces and \(Q_p\)-spaces |
| 47H30 | Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) |
Citations:
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