4 papers
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…
Optimality problems in Orlicz spaces
Vít Musil, Luboš Pick, Jakub Takáč
In mathematical modelling, the data and solutions are represented as measurable functions and their quality is oftentimes captured by the membership to a certain function space. On…
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…