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…
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…
Composition operators in Orlicz-Sobolev spaces
MichaÅ 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…
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…