8 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…
Compact Sobolev embeddings of radially symmetric functions
ZdenÄk 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…
Non-strict singularity of optimal Sobolev embeddings
Jan Lang, ZdenÄk 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…
Optimal Sobolev inequalities in the hyperbolic space
ZdenÄk Mihula
We find the optimal function norm on the left-hand side of the th order Sobolev type inequality in the -di…
Uniform decay of function norms
ZdenÄk 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…