Talk:Nemytskii operator

In the section of the Boundless Theorem it may be added, that there exists a more general form where one concludes from $|f(x,u)|\leq C|u|^{r}+g(x)$, $c>0$, $r>0$ that the Nemytskii operator $F$ is a bounded and continuous map from $L^{p}$ to $L^{\frac {p}{r}}$.

This may belong to another article; but I have not found a better place yet.

Jjh1993 (talk) 11:16, 8 November 2014 (UTC)

Redundant Sections

This article, in its current form, gives three very similar definitions of the operator in question in its first three sections, which differ from each other only in slight details - I don't feel I am familiar enough with functional analysis to judge which one should be preferred, but surely the article should only give a single generalized definition and derive everything else from there? Yoneda-Emma (talk) 16:14, 8 January 2026 (UTC)