Silvano Delladio

collaborators

4 papers

math.FA2024

Some remarks on points of Lebesgue density and density-degree functions

Silvano Delladio

Some properties of $m$ -density points and density-degree functions are studied. Moreover the following main results are provided: \vskip2mm \begin{itemize} \item {\it Let $λ$ be a…

math.FA2024

Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set

Silvano Delladio

A property of weak stationarity of a matrix valued differential form at superdensity points of its vanishing set is proved. This result is then applied in the context of the Maurer…

math.FA2024

Involutivity of distributions at points of superdense tangency with respect to normal currents

Silvano Delladio

Let $D$ and $T$ be, respectively, a $C^{1}$ distribution of $k$ -planes and a normal $k$ -current on $R^{n}$ . Then $D$ has to be involutive at almost ever…

math.FA2024

Superdensity with respect to Radon measure on $R^{n}$

Silvano Delladio

We introduce and investigate superdensity and the density degree of sets with respect to a Radon measure on $R^{n}$ . Some applications are provided. In particular we prove…

Some remarks on points of Lebesgue density and density-degree functions

Weak stationarity of a matrix valued differential form at superdensity points of its vanishing set

Involutivity of distributions at points of superdense tangency with respect to normal currents

Superdensity with respect to Radon measure on Rn

Superdensity with respect to Radon measure on $R^{n}$