30 citations · 85 across the 17 of their papers we have counts for
19 papers
Operators on Orlicz sequence spaces and -fundamentality
David E. Edmunds, Jan Krejčí, Zdeněk Mihula +1
A classical result states that the Hardy--Littlewood maximal operator is bounded on an Orlicz space if and only if its conjugate Young function sati…
Interpolation of classical Lorentz spaces measuring oscillation
Amiran Gogatishvili, Julio S. Neves, Luboš Pick +1
We obtain an explicit characterization of the -functional of a pair of weighted classical Lorentz spaces of type . We develop a method for obtaining such characterization bas…
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 for sub-monotone functionals
Amiran Gogatishvili, Luboš Pick
We establish a set of relations between several quite diverse types of weighted inequalities involving various integral operators and fairly general quasinorm-like functionals whic…
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…
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…