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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-…
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…
Canceling effects in higher-order Hardy-Sobolev inequalities
Andrea Cianchi, Norisuke Ioku
A classical first-order Hardy-Sobolev inequality in Euclidean domains, involving weighted norms depending on powers of the distance function from their boundary, is known to hold f…