30 citations · 30 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Uniform decay of function norms
Zdeněk Mihula, Maximilián Pándy
We introduce and study two new relations between function spaces over measure spaces of infinite measure, motivated by the question of establishing compactness. The first relation…
Non-strict singularity of optimal Sobolev embeddings
Jan Lang, Zdeněk Mihula
We investigate the operator-theoretic property of strict singularity for optimal Sobolev embeddings within the general framework of rearrangement-invariant function spaces (r.i. sp…
Compact Sobolev embeddings of radially symmetric functions
Zdeněk Mihula
We provide a complete characterization of compactness of Sobolev embeddings of radially symmetric functions on the entire space in the general framework of rearrange…
Optimal Sobolev inequalities in the hyperbolic space
Zdeněk Mihula
We find the optimal function norm on the left-hand side of the th order Sobolev type inequality in the -di…
Boundedness of classical operators on rearrangement-invariant spaces
David E. Edmunds, Zdeněk Mihula, Vít Musil +1
We study the behaviour on rearrangement-invariant spaces of such classical operators of interest in harmonic analysis as the Hardy-Littlewood maximal operator (including the fracti…