User Lorenzo Pompili

14 votes

What standard Banach space is isomorphic to the completion of this different normed structure on $\ell^1$?

answered Apr 10, 2023 at 16:21

7 votes

Accepted

If $f$ is bounded, decays fast enough at infinity and $\int f=0$, does this imply that $f$ is in the Hardy space $\mathcal H^1(\mathbb R^n)$?

answered Oct 4, 2023 at 9:21

6 votes

Connected geometric thickness two

answered Sep 30, 2023 at 13:52

6 votes

Are $L^p$ norms absolutely continuous?

answered Oct 14, 2023 at 17:51

3 votes

Analytic maps on Banach spaces: analyticity upgrade

answered Apr 8 at 0:01

3 votes

The integrability of $\widehat{e^{-|x|^a}}$, $a>0$

answered Oct 2, 2023 at 12:09

3 votes

Looking for references to study $U^p$ and $V^p$ spaces

answered Apr 2, 2023 at 20:59

2 votes

Accepted

Integral inequality implies majorization by solution of ODE

answered Mar 18, 2023 at 15:30

2 votes

Accepted

Bound for zero-crossings of heat equation

answered Oct 14, 2023 at 15:56

1 vote

Accepted

Surjectivity of a class of integrals in dimensions two

answered Sep 29, 2023 at 16:38

1 vote

PDE: compactness vs blowup

answered Feb 13 at 13:05

1 vote

Continuity upgrade for nonlinear maps

answered Apr 3 at 8:14

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12 Answers

What standard Banach space is isomorphic to the completion of this different normed structure on $\ell^1$?

If $f$ is bounded, decays fast enough at infinity and $\int f=0$, does this imply that $f$ is in the Hardy space $\mathcal H^1(\mathbb R^n)$?

Connected geometric thickness two

Are $L^p$ norms absolutely continuous?

Analytic maps on Banach spaces: analyticity upgrade

The integrability of $\widehat{e^{-|x|^a}}$, $a>0$

Looking for references to study $U^p$ and $V^p$ spaces

Integral inequality implies majorization by solution of ODE

Bound for zero-crossings of heat equation

Surjectivity of a class of integrals in dimensions two

PDE: compactness vs blowup

Continuity upgrade for nonlinear maps