86 citations · 185 across the 36 of their papers we have counts for
20 papers · 1 filter
Fractional Orlicz-Sobolev embeddings into Campanato type spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are als…
Higher-order Sobolev embeddings into spaces of Campanato and Morrey type
Paola Cavaliere, Andrea Cianchi, Luboš Pick +1
Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized) Campanato and Morrey…
On the modulus of continuity of fractional Orlicz-Sobolev functions
Angela Alberico, Andrea Cianchi, Luboš Pick +1
Necessary and sufficient conditions are presented for a fractional Orlicz-Sobolev space on $\rn$ to be continuously embedded into a space of uniformly continuous functions. The opt…
Inclusion relations among fractional Orlicz-Sobolev spaces and a Littlewood-Paley characterization
Dominic Breit, Andrea Cianchi
Embeddings among fractional Orlicz-Sobolev spaces with different smoothness are characterized. The equivalence of their Gagliardo-Slobodeckij norms to norms defined via Littlewood-…
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria…
Boundedness of functions in fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into is exhibited. Under the same assumption, any func…