Anna Canale

activity

20142023

most citedMorrey type spaces and multiplication operator in Sobolev spaces

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2023

Multipolar Hardy inequalities and mutual interaction of the poles

Anna Canale

In this paper we state the weighted Hardy inequality \begin{equation*} c\int_{{\mathbb R}^N}\sum_{i=1}^n \frac{φ^2 }{|x-a_i|^2}\, μ(x)dx\le \int_{{\mathbb R}^N} |\nablaφ|^2 \, μ(x)…

math.AP2022

Improved Hardy inequalities with a class of weights

Anna Canale

\begin{abstract} In the paper we state conditions on potentials $V$ to get the improved Hardy inequality with weight \begin{equation*} \begin{split} c_{N,μ}\int_{\R^N}\frac{φ^2}{|x…

math.AP2014★ 1 cited

Morrey type spaces and multiplication operator in Sobolev spaces

A. Canale, C. Tarantino

The paper deals with the operator $u \to g u$ defined in the Sobolev space $W^{r, p} (Ω)$ and which takes values in $L^{p} (Ω)$ when $Ω$ is an unbounded open subset in $R^{n}$ . The…

math.AP2014

Schrödinger type operators with unbounded diffusion and potential terms

Anna Canale, Abdelaziz Rhandi, Cristian Tacelli

We prove that the realization $A_{p}$ in $L^{p} (R^{N}), 1 < p < \infty$ , of the Schrödinger type operator $A = (1 + ∣ x ∣^{α}) Δ - ∣ x ∣^{β}$ with domain $D(A_p)=\{u\in W^{2,p}(\mathbb{R}^N): Au\…