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Aug 23, 2020 at 20:28 vote accept Tomasz Kania
Aug 23, 2020 at 2:42 answer added fedja timeline score: 8
Aug 22, 2020 at 20:10 comment added Tomasz Kania @YemonChoi, hi Yemon, nope. If we allow $\delta$ to depend already on $\|f^{-1}\|_\infty$, then this becomes trivial. However for $X = \mathbb T$ I am happy to assume that $f,g$ have summable Fourier series.
Aug 22, 2020 at 20:07 comment added Yemon Choi Hi Tomek: are you putting any restrictions on $\min_{x\in X} |f(x)|$ and $\min_{x\in X} |g(x)|$ in terms of $\delta$?
Aug 22, 2020 at 19:44 history edited Tomasz Kania CC BY-SA 4.0
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Aug 22, 2020 at 19:44 comment added Christian Remling Yes, it does, I thought that's what you're doing (fix $f,g$, keep $d$ variable).
Aug 22, 2020 at 19:43 history edited Tomasz Kania CC BY-SA 4.0
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Aug 22, 2020 at 19:23 history asked Tomasz Kania CC BY-SA 4.0