6 papers
Operators on Orlicz sequence spaces and -fundamentality
David E. Edmunds, Jan KrejÄÃ, ZdenÄk 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…
Non-improvability of sharp endpoint estimates
ZdenÄk Mihula, LuboÅ¡ Pick, Armin Schikorra
For an integer and the parameter , the Riesz potential is known to take boundedly into , and als…
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…
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…
Embeddings between generalized weighted Lorentz spaces
Amiran Gogatishvili, ZdenÄk Mihula, LuboÅ¡ Pick +2
We give a new characterization of a continuous embedding between two function spaces of type . Such spaces are governed by functionals of type \begin{equation*} \|f\|_{GÎ(r,q…
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…