86 citations · 185 across the 36 of their papers we have counts for
6 papers · 1 filter
Friedrichs type inequalities in arbitrary domains
Andrea Cianchi, Vladimir Maz'ya
First and second-order inequalities of Friedrichs type for Sobolev functions in arbitrary domains are offered. The relevant inequalities involve optimal norms and constants that ar…
Sharp exponential inequalities for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
The optimal constants in a class of exponential type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space are detected. The existence of extremal functions in the re…
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms
Dominic Breit, Andrea Cianchi
A unified approach to embedding theorems for Sobolev type spaces of vector-valued functions, defined via their symmetric gradient, is proposed. The Sobolev spaces in question are b…
On the limit as of fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
An extended version of the Maz'ya-Shaposhnikova theorem on the limit as of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our…
Fractional Orlicz-Sobolev embeddings
Angela Alberico, Andrea Cianchi, Luboš Pick +1
The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in . An improved embedding with an Orlicz-Lorentz target space, w…
On the existence of extremals for Moser type inequalities in Gauss space
Andrea Cianchi, Vít Musil, Luboš Pick
The existence of an extremal in an exponential Sobolev type inequality, with optimal constant, in Gauss space is established. A key step in the proof is an augmented version of the…