4 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
ZdenÄk Mihula, LuboÅ¡ 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, ZdenÄk Mihula, VÃt 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, ZdenÄk 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…