2 citations · 2 across the 2 of their papers we have counts for
4 papers
Riesz potential estimates under co-canceling constraints
D. Breit, A. Cianchi, D. Spector
Inequalities for Riesz potentials are well-known to be equivalent to Sobolev inequalities of the same order for domain norms ``far" from , but to be weaker otherwise. Recent c…
Composition operators in Orlicz-Sobolev spaces
Michał Borowski, Andrea Cianchi
The continuity of the Nemytskii operator between Orlicz-Sobolev spaces is investigated. Natural Orlicz-Sobolev versions of classical results for standard Sobolev are established. T…
Sobolev inequalities for canceling operators
Dominic Breit, Andrea Cianchi, Daniel Spector
Sobolev type inequalities involving homogeneous elliptic canceling differential operators and rearrangement-invariant norms on the Euclidean space are considered. They are characte…
Anisotropic symmetrization, convex bodies, and isoperimetric inequalities
Gabriele Bianchi, Andrea Cianchi, Paolo Gronchi
This work is concerned with a Pólya-Szegö type inequality for anisotropic functionals of Sobolev functions. The relevant inequality entails a double-symmetrization involving both t…