12 citations · 42 across the 9 of their papers we have counts for
9 papers
Non-improvability of sharp endpoint estimates
Zdeněk Mihula, Luboš Pick, Armin Schikorra
For an integer and the parameter , the Riesz potential is known to take boundedly into , and also t…
Maximal noncompactness of limiting Sobolev embeddings
Jan Lang, Zdeněk Mihula, Luboš Pick
We develop a new method suitable for establishing lower bounds on the ball measure of noncompactness of operators acting between considerably general quasinormed function spaces. T…
Different degrees of non-compactness for optimal Sobolev embeddings
Jan Lang, Zdeněk Mihula
The structure of non-compactness of optimal Sobolev embeddings of -th order into the class of Lebesgue spaces and into that of all rearrangement-invariant function spaces is qua…
Embeddings between generalized weighted Lorentz spaces
Amiran Gogatishvili, Zdeněk Mihula, Luboš 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\|_{GΓ(r,q;w…
Reduction principle for Gaussian -inequality
Sergi Baena-Miret, Amiran Gogatishvili, Zdeněk Mihula +1
We study interpolation properties of operators (not necessarily linear) which satisfy a specific -inequality corresponding to endpoints defined in terms of Orlicz--Karamata spac…
Weighted inequalities for a superposition of the Copson operator and the Hardy operator
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely \begin{equation*} \bigg(\int_a^b \bigg(\int_t^b \bigg(\int_a^s f(τ)^p…