Giorgio Metafune's user avatar
Giorgio Metafune's user avatar
Giorgio Metafune's user avatar
Giorgio Metafune
  • Member for 4 years, 1 month
  • Last seen this week
  • Lecce, LE, Italia
17 votes
Accepted

Acting with a finite number of rotations on a set of positive measure can you fill almost the whole circle?

9 votes

Gradient $L^p$ estimates for heat equation

9 votes

Is it possible to obtain the inequality $\|\nabla f\|_{L^{2p}} \leq C (\|f\|_{L^\infty} \|f\|_{W^{2, p}})^{1/2}$ from interpolation/harmonic analysis?

8 votes
Accepted

Interpolation theory and $C^k$-spaces

8 votes
Accepted

A problem concerning a divergent function on $[0, 1]$

8 votes
Accepted

Eigenvalues and eigenfunctions of the Laplace operator on entire plane

8 votes
Accepted

Unique solutions to the heat equation on $\mathbb{R}^3$

8 votes
Accepted

Is $L^p(X,\ell^p)$, $1<p<\infty$, uniformly convex?

7 votes
Accepted

Elementary inequality generalizing convexity of a function on a segment

7 votes

Proving an integral identity

7 votes
Accepted

Why is $\frac{1}{|x|^{n-2}}u(\frac{x}{|x|^2})$ harmonic if $u$ is harmonic?

6 votes

Spherical harmonics – pointwise and L1 bounds

6 votes
Accepted

Angle of analyticity of semigroup

6 votes
Accepted

Does this condition on $f$ imply essential boundedness on compacts?

6 votes
Accepted

Is this an $L^p-L^{\infty}$ operator?

5 votes
Accepted

A function is of bounded variation if and only if the errors of its best approximation by trigonometric polynomials satisfy $\sum\frac{e_n}n<\infty$?

5 votes
Accepted

The behavior of $ \nabla u $ on the boundary for Poisson equations

5 votes
Accepted

Are there $f, g$ such that $\int_{S^{1}} |f'|^{2}+|g'|^{2}d\theta-2\int_{S^{1}}f'g<0,$ where $f'=\frac{\partial f}{\partial \theta}$

5 votes

2D Fourier transform of log function

5 votes
Accepted

How to use comparison principle to prove the following inequality about Laplace equation?

5 votes

Do two ways to differentiate Lipschitz functions coincide?

5 votes
Accepted

A fractional weighted Poincaré inequality

5 votes

Using the Stone-Weierstrass theorem to solve an integral limit

4 votes
Accepted

An integrable estimate of the Hölder constant of the map $x \mapsto \int_{\mathbb R^d} f(y) \partial_1 \partial_1 g_t (x-y) \, \mathrm d y$

4 votes
Accepted

Distributional derivatives are locally integrable implies the distribution is also locally integrable?

4 votes

Embeddings of the maximal domain for the Laplacian

4 votes
Accepted

Weak convergence in $H^{1}$ implies different convergence in $L^{p}$?

4 votes
Accepted

Is the Hardy Littlewood “minimal function” comparable to the original function in $L^1$ norm?

4 votes
Accepted

Total sets for $L^p$ for every $1\leq p < \infty$

4 votes

Regularity of Newtonian potential along smooth boundary