Timeline for Hölder continuity of functional calculus
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 21, 2020 at 16:02 | comment | added | Paul Pfeiffer | $h_\alpha(t)= (1-\alpha)^{-1} \ln(t^\alpha+(1-t)^\alpha$ for $\alpha \not =1$. But I think, that they can be approximated sufficiently close by $C_c^2$ functions, which are in $B^1_{\infty,1}$, if i understood the Bezov spaces correctly. Hence this does help with my application. | |
| Oct 21, 2020 at 14:49 | comment | added | Mikael de la Salle | @PaulPfeiffer What are these "Renji entropy functions" that you are mentionning ? | |
| Oct 21, 2020 at 1:13 | vote | accept | Paul Pfeiffer | ||
| Oct 21, 2020 at 1:13 | comment | added | Paul Pfeiffer | That does show, that my general claim is false. There is still a very significant gap between the necessary and sufficient conditions for such an $f$ in this paper. The sufficient condition implies Lipschitz, which is not satisfied by the renji entropy functions I am studying. The necessary condition is the Hölder continuity I claimed to be sufficient. Still, it is an answer to the question, although not the one I had hoped for. | |
| Oct 20, 2020 at 16:43 | history | answered | Mikael de la Salle | CC BY-SA 4.0 |