21 citations · 25 across the 4 of their papers we have counts for
9 papers · 1 filter
Almost compact embeddings between Orlicz and Lorentz spaces
Vít Musil, Luboš Pick, Jakub Takáč
We characterize when an Orlicz space is almost compactly (uniformly absolutely continuously) embedded into a Lorentz space in terms of a balance condition involving…
Weighted inequalities involving Hardy and Copson operators
Amiran Gogatishvili, Luboš Pick, Tuğçe Ünver
We characterize a four-weight inequality involving the Hardy operator and the Copson operator. More precisely, given , we find necessary and suf…
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…
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…
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Andrea Cianchi, Luboš Pick, Lenka Slavíková
Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of endowed with measures whose decay on balls is dominated by a power of th…
Moser inequalities in Gauss space
Andrea Cianchi, Vít Musil, Luboš Pick
The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderl…