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Dec
17
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Nov
18
comment Ways to prove the fundamental theorem of algebra
It is open on the set A by the Open Mapping Theorem of Complex Analysis. It is closed because proper maps are closed (see math.stackexchange.com/questions/501510/…). Non-constant complex polynomials are proper because they diverge at infinity.
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29
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Mar
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asked Invertibility of Hankel operators?
Mar
6
comment An inequality for Fourier transform
It seems to me that the inequality follows from Plancherel inequality and the identity $\widehat{(-\Delta)^{-\alpha}f}=|x|^{-2\alpha}\widehat{f}$.
Jan
8
comment Better bound for Hardy-Littlewood maximal function
Testing your estimate on the characteristic of a ball, you see that when $\alpha\rightarrow+\infty$ you get a contradiction.
Oct
23
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Oct
15
comment Elliptic Harnack inequality for 1D Schrodinger operator?
A Harnack inequality with constants depending on the radius may be found in Aizenman, M.; Simon, B. Brownian motion and Harnack inequality for Schrödinger operators.
Oct
8
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Oct
1
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Aug
5
comment Converse to Chow's theorem in sub-riemannian geometry
Thank you, Dario!