Timeline for Boundedness of integral operators on spaces of continuous functions
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 10, 2019 at 12:46 | comment | added | Delio Mugnolo | Yes, I know that my operator is contractive on all $L^p$-spaces. My question really was about the way it acts on continuous functions. | |
| Dec 9, 2019 at 15:53 | comment | added | Bazin | @DelioMugnolo Do you know if your operator is $L^p$ bounded for $p\in (1,+\infty)$? On the other hand, I believe that the condition on the essential supremum is necessary for $L^\infty$ boundedness, at least in an Euclidean framework with the Lebesgue measure. | |
| Dec 8, 2019 at 18:33 | comment | added | Delio Mugnolo | Thanks, but the question is related to a specific application I have in mind. I already know by other means that the operator is bounded on $L^2$; what I want is to deduce from properties of its kernel that it's also bounded on $BUC$ or $C_0$. | |
| Dec 7, 2019 at 17:15 | history | answered | Bazin | CC BY-SA 4.0 |