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Apr 19, 2018 at 7:37 vote accept Rahul Raju Pattar
Apr 18, 2018 at 10:30 comment added Rahul Raju Pattar @Jean Dunchon I have corrected the title and $f$ needs to satisfy the limsup condition for every $q\ge1$
Apr 18, 2018 at 10:30 answer added Pietro Majer timeline score: 5
Apr 18, 2018 at 10:27 history edited Rahul Raju Pattar CC BY-SA 3.0
edited title
Apr 18, 2018 at 10:18 comment added Jean Duchon The title of this question is misleading, since $g$ is precisely not Log-Lipschitz...(being Hölder for no $\alpha<1$). Also, do you really want $f$ to satisfy the limsup condition for every $q\ge1$ ?
Apr 18, 2018 at 8:20 comment added fedja Just make them a bit wild instead of trying something too nice. For instance, you can put $g(x)=\frac{\sin(\log x)}{\log x}$ extended to $0$ by $0$, etc.
Apr 18, 2018 at 6:13 history asked Rahul Raju Pattar CC BY-SA 3.0