Luigi d'Onofrio

collaborators

5 papers

math.FA2020

Preduals and double preduals of some Banach spaces

Luigi D'Onofrio, Gianluigi Manzo, Carlo Sbordone +1

In this paper we study ways to establish when a Banach space can be identified as the dual or the double dual of another Banach space. To obtain these results, we relate these spac…

math.CA2020

On BV homeomorphisms

Luigi D'Onofrio, Jan Malý, Carlo Sbordone +1

We obtain the rectifiability of the graph of a bounded variation homeomorphism $f$ in the plane and relations between gradients of $f$ and its inverse. Further, we show an example…

math.AP2020

A sense preserving Sobolev homeomorphism with negative Jacobian almost everywhere

Daniel Campbell, Luigi D'Onofrio, Stanislav Hencl

For every $1 \leq p < \frac{3}{2}$ we construct a Sobolev homeomorphism $f \in W^{1, p} ([- 1, 1]^{4}, [- 1, 1]^{4})$ such that $f (x) = x$ for every $x \in \partial [- 1, 1]^{4}$ but $J_{f} < 0$ a.e.

math.FA2019

Duality and distance formulas in Lipschitz-Hölder spaces

Francesca Angrisani, Giacomo Ascione, Luigi D'Onofrio +1

For a compact metric space $(K, ρ)$ , the predual of $L i p (K, ρ)$ can be identified with the normed space $M (K)$ of finite (signed) Borel measures on $K$ equipped with the Kantorovic…

math.FA2019

Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces

Luigi D'Onofrio, Luigi Greco, Karl-Mikael Perfekt +2

Given a Banach space $E$ with a supremum-type norm induced by a collection of operators, we prove that $E$ is a dual space and provide an atomic decomposition of its predual. We ap…