A. Roviello

collaborators

3 papers

math.AP2018

Morse--Sard theorem and Luzin $N$ -property: a new synthesis result for Sobolev spaces

A. Ferone, M. V. Korobkov, A. Roviello

For a regular (in a sense) mapping $v : R^{n} \to R^{d}$ we study the following problem: {\sl let $S$ be a subset of $m$ -critical a set $\tilde Z_{v,m}=\{{\rm rank} \na…

math.AP2017

On Luzin N-property and uncertainty principle for the Sobolev mappings

Adele Ferone, Mikhail V. Korobkov, Alba Roviello

We study Luzin N-property with respect to the Hausdorff measures for Sobolev spaces W^k_p(R^n,R^d). We prove that such N-property holds except for one critical dimensional value t_…

math.AP2017

On some universal Morse-Sard type Theorem

Adele Ferone, Mikhail V. Korobkov, Alba Roviello

The classical Morse--Sard theorem claims that for a mapping $v : R^{n} \to R^{m + 1}$ of class $C^{k}$ the measure of critical values $v (Z_{v, m})$ is zero under condition $k\…

Morse--Sard theorem and Luzin N-property: a new synthesis result for Sobolev spaces

On Luzin N-property and uncertainty principle for the Sobolev mappings

On some universal Morse-Sard type Theorem

Morse--Sard theorem and Luzin $N$ -property: a new synthesis result for Sobolev spaces