Integral operators in the spaces of functions of bounded Schramm variation
Functional Analysis
2023-10-16 v1 Classical Analysis and ODEs
Abstract
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 Schramm variation in terms of their generating kernels.
Cite
@article{arxiv.2310.08918,
title = {Integral operators in the spaces of functions of bounded Schramm variation},
author = {Jacek Gulgowski and Piotr Kasprzak and Piotr Maćkowiak},
journal= {arXiv preprint arXiv:2310.08918},
year = {2023}
}
Comments
This paper grew out of the unpublished part of the paper by the same authors, Compactness in normed spaces: a unified approach through semi-norms, arXiv:2111.10547v1