Roberta Schiattarella

collaborators

4 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.AP2020

Diffeomorphic approximation of Planar Sobolev Homeomorphisms in rearrangement invariant spaces

Daniel Campbell, Luigi Greco, Roberta Schiattarella +1

Let $Ω \subseteq R^{2}$ be a domain, let $X$ be a rearrangement invariant space and let $f \in W^{1} X (Ω, R^{2})$ be a homeomorphism between $Ω$ and $f (Ω)$ . Then there e…

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.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…