3 papers
math.FA2026
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…
math.FA2025
The Persson--Stepanov theorem revisited
Amiran Gogatishvili, LuboÅ¡ Pick, Hana TurÄinová +1
We develop a new proof of the result of L.-E.~Persson and V.D.~Stepanov \cite[Theorems 1 and 3]{Per:02}, which provides a characterization of a Hardy integral inequality involving…
math.FA2025
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…