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Lorenzo Pompili's user avatar
Lorenzo Pompili's user avatar
Lorenzo Pompili
  • Member for 3 years, 6 months
  • Last seen this week
  • Bonn, Germania
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I am a Ph.D. student in Mathematical Analysis at the University of Bonn. I am working on dispersive PDEs.

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14
What standard Banach space is isomorphic to the completion of this different normed structure on $\ell^1$?
Apr 10, 2023
question
6
Analytic maps on Banach spaces: analyticity upgrade
Apr 3
answer
6
Connected geometric thickness two
Sep 30, 2023
answer
6
If $f$ is bounded, decays fast enough at infinity and $\int f=0$, does this imply that $f$ is in the Hardy space $\mathcal H^1(\mathbb R^n)$?
Oct 4, 2023
answer
6
Are $L^p$ norms absolutely continuous?
Oct 14, 2023
question
5
All $L^pL^q$ estimates for the heat equation on $\mathbb R$ (with gain of derivatives)
Mar 21, 2023
question
5
Non-uniqueness of solutions to a simple nonlinear elliptic PDE in $\mathbb R^n$
Sep 28, 2023
question
5
If $f$ is bounded, decays fast enough at infinity and $\int f=0$, does this imply that $f$ is in the Hardy space $\mathcal H^1(\mathbb R^n)$?
Oct 2, 2023
question
4
Given $a>0$, find $b>0$ for which $\|\langle x\rangle^{-b}|\partial_x|^{1/2}f\|_{L^2}\lesssim\|\partial_x f\|_{L^2}+\|\langle x\rangle^{-a}f\|_{L^2}$
Dec 11, 2022
question
3
Radial-energy decomposition of a velocity field in 2D: is anyone able to show that the lemma below is true (…or false)?
Nov 13, 2021
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12
The Fourier transform of $e^{-i/x}$
12
Can the collapse of the wave function be modelled as a quantum system on its own?
10
Why does differentiation with respect to time commute with the Fourier Transform?
8
Why the derivatives $f^{(n)}(x)$ of Flat functions grows so fast? (intuition behind)
8
Reference for "distributional derivative being zero implies being constant"