12 citations · 42 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
Compactness of Sobolev embeddings and decay of norms
Jan Lang, Zdeněk Mihula, Luboš Pick
We investigate the relationship between the compactness of embeddings of Sobolev spaces built upon rearrangement-invariant spaces into rearrangement-invariant spaces endowed with $…
On Bilinear Hardy Inequality and Corresponding Geometric Mean Inequality
Amiran Gogatishvili, Pankaj Jain, Saikat Kanjilal
The main aim of this paper to provide several scales of equivalent conditions for the bilinear Hardy inequalities in the case with .
Measure of noncompactness of Sobolev embeddings on strip-like domains
David E. Edmunds, Jan Lang, Zdeněk Mihula
We compute the precise value of the measure of noncompactness of Sobolev embeddings , , on strip-like domains of the form $\…