3 papers
math.FA2023
Integral operators in the spaces of functions of bounded Schramm variation
Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
In this paper we provide a full characterization of linear integral operators acting from the space of functions of bounded Jordan variation to the space of functions of bounded Sc…
math.FA2023
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Let be a probability space and let be a binary filtration, i.e. exactly one atom of is divided into two atoms of $\m…
math.FA2023
Properties of local orthonormal systems, Part I: Unconditionality in
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Assume that we are given a filtration on a probability space of the form that each is generated by the partition of one a…