Giorgio Metafune's user avatar
Giorgio Metafune's user avatar
Giorgio Metafune's user avatar
Giorgio Metafune
  • Member for 2 years, 9 months
  • 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?

8 votes

Gradient $L^p$ estimates for heat equation

8 votes
Accepted

Interpolation theory and $C^k$-spaces

8 votes
Accepted

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

8 votes
Accepted

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

7 votes
Accepted

Eigenvalues and eigenfunctions of the Laplace operator on entire plane

7 votes
Accepted

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

7 votes
Accepted

Elementary inequality generalizing convexity of a function on a segment

6 votes
Accepted

Angle of analyticity of semigroup

6 votes
Accepted

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

5 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

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

Spherical harmonics – pointwise and L1 bounds

4 votes
Accepted

Nonnegativity implies $\langle Lf,f\rangle\geq \int f^2-(\int fg)^2$ for $g\geq 0$

4 votes

A proof of Bernstein's inequality

4 votes
Accepted

Optimal constant in Sobolev embedding

4 votes

Completeness of the sequence $\left \{ \frac{1}{x+1},\frac{1}{x+2},\frac{1}{x+3}, \dots \right \}$ in $L^2[0,1]$

4 votes
Accepted

On a property of resolvents associated with holomorphic semigroups

4 votes

Criterion for compactness

3 votes
Accepted

Compactness of integral operators

3 votes

Linear independence of translates of a function $\{ \phi(\cdot - x) : x \in \mathcal F \}$

3 votes
Accepted

Kernel for an equation involving the Ornstein-Uhlenbeck operator

3 votes
Accepted

$x '(t) + g (x (t)) = f (t),\quad \forall t\in \mathbb R$ have periodic solution $\iff\; \frac 1T \int_0 ^ T f (t) dt \in g (\mathbb R) $

3 votes
Accepted

Estimates for an elliptic PDE

3 votes
Accepted

Jensen’s inequality for Heat semigroup is valid for Schrödinger semigroup?

3 votes

Different ways to prove $L^p$-estimates for the heat equation

3 votes

The solution of Poisson equation and the distance function from the boundary

3 votes

Elliptic operator with finite spectrum?