Zdeněk Mihula

activity

20192026

collaborators

3 papers

math.FA2026

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 $n$ -th order partial derivatives of a radially symmetric function $f (x) = g (r (x))$ . Using the…

math.FA2024

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…

math.FA2019

Embeddings of homogeneous Sobolev spaces on the entire space

Zdeněk Mihula

We completely characterize the validity of the inequality $∥ u ∥_{Y (R^{n})} \leq C ∥ \nabla^{m} u ∥_{X (R^{n})}$ , where $X$ and $Y$ are rearrangement-invariant spaces, by…