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Timeline for Controling mixed derivatives

Current License: CC BY-SA 3.0

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Jan 15, 2018 at 5:51 comment added AlexR @Hans It‘s been a while. I will look in my notes when I find the time.
Jan 13, 2018 at 19:28 comment added Hans @AlexR: Why don't you post your complete answer below now that you have it?
Sep 11, 2014 at 11:39 comment added AlexR I have finally come around the estimate using your suggestion with a little more care put into the $z$ dependency. Since your answer gave me the necessary hint (to look at specific terms and try to estimate them uniformly), I accept it :)
Sep 11, 2014 at 11:37 vote accept AlexR
Aug 23, 2014 at 12:53 comment added AlexR Actually the authors need the power of $z$ in the estimate to be $N$, at least for the $N=2$ case. They later use that $$\int_0^\infty e^{-ix_n t} \chi(t) t^{z+k-1} \mathrm dt \le C_2 \frac{(1+|z+k-1|)^2}{\Re z + k} (1+|x_n|)^{-\Re z -k} \le C (1+|z|)^2 (1+|x_n|)^{-\Re z-k}$$
Aug 22, 2014 at 8:34 history edited Willie Wong CC BY-SA 3.0
added 27 characters in body
Aug 22, 2014 at 8:28 history answered Willie Wong CC BY-SA 3.0