4 papers · 1 filter
Multipolar potentials and weighted Hardy inequalities
A. Canale
\begin{abstract} In this paper we state the following weighted Hardy type inequality for any functions in a weighted Sobolev space and for weight functions of a quite gener…
Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials
Anna Canale, Francesco Pappalardo, Ciro Tarantino
The main results in the paper are the weighted multipolar Hardy inequalities \begin{equation*} c\int_{\R^N}\sum_{i=1}^n\frac{u^2}{|x-a_i|^2}\,dμ\leq\int_{\R^N}|\nabla u |^2dμ+ K\in…
A class of weighted Hardy inequalities and applications to evolution problems
Anna Canale, Francesco Pappalardo, Ciro Tarantino
\begin{abstract} We state the following weighted Hardy inequality \begin{equation*} c_{o, μ}\int_{{\R}^N}\frac{φ^2 }{|x|^2}\, dμ\le \int_{{\R}^N} |\nablaφ|^2 \, dμ+ K \int_{\R^N}φ^…
Optimal kernel estimates for a Schrödinger type operator
Anna Canale, Cristian Tacelli
In the paper the principal result obtained is the estimate for the heat kernel associated to the Schrödinger type operator \[ k(t,x,y)\leq Ct^{-\fracθ{2}}\frac {…