30 citations · 85 across the 17 of their papers we have counts for
4 papers · 1 filter
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…
Maximal non-compactness of Sobolev embeddings
Jan Lang, Vít Musil, Miroslav Olšák +1
It has been known that sharp Sobolev embeddings into weak Lebesgue spaces are non-compact but the question of whether the measure of non-compactness of such an embedding equals to…
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…
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…