10 citations · 28 across the 10 of their papers we have counts for
10 papers
Higher-order derivatives of radially symmetric functions
Zdeněk Mihula, Jan Vybíral
We prove a surprisingly simple pointwise formula for the Frobenius norm of the tensor of -th order partial derivatives of a radially symmetric function . Using the…
Potential trace inequalities via a Calderón-type theorem
Zdeněk Mihula, Luboš Pick, Daniel Spector
In this paper we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of re…
Maximal noncompactness of embeddings into Marcinkiewicz spaces
Jan Malý, Zdeněk Mihula, Vít Musil +1
We develop a new functional-analytic technique for investigating the degree of noncompactness of an operator defined on a quasinormed space and taking values in a Marcinkiewicz spa…
Quantitative analysis of optimal Sobolev-Lorentz embeddings with -homogeneous weights
Petr Gurka, Jan Lang, Zdeněk Mihula
Optimal weighted Sobolev-Lorentz embeddings with homogeneous weights in open convex cones are established, with the exact value of the optimal constant. These embeddings are non-co…
Rearrangement-invariant hulls of weighted Lebesgue spaces
Martin Křepela, Zdeněk Mihula, Javier Soria
We characterize the rearrangement-invariant hull, with respect to a given measure , of weighted Lebesgue spaces. The solution leads us to first consider when this space is conta…
A weak-type expression of the Orlicz modular
Martin Křepela, Zdeněk Mihula, Javier Soria
An equivalent expression of Orlicz modulars in terms of measure of level sets of difference quotients is established. The result in a sense complements the famous Maz'ya-Shaposhnik…
Optimal behavior of weighted Hardy operators on rearrangement-invariant spaces
Zdeněk Mihula
The behavior of certain weighted Hardy-type operators on rearrangement-invariant function spaces is thoroughly studied with emphasis being put on the optimality of the obtained res…
Discretization and antidiscretization of Lorentz norms with no restrictions on weights
Martin Křepela, Zdeněk Mihula, Hana Turčinová
We improve the discretization technique for weighted Lorentz norms by eliminating all "non-degeneracy" restrictions on the involved weights. We use the new method to provide equiva…
Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space
Zdeněk Mihula
Poincaré-Sobolev-type inequalities involving rearrangement-invariant norms on the entire are provided. Namely, inequalities of the type $\|u-P\|_{Y(\mathbb{R}^n)}\le…
Embeddings of homogeneous Sobolev spaces on the entire space
Zdeněk Mihula
We completely characterize the validity of the inequality , where and are rearrangement-invariant spaces, by…