paper

Integral operators in the spaces of functions of bounded Schramm variation

arXiv:2310.08918

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.

This paper grew out of the unpublished part of the paper by the same authors, Compactness in normed spaces: a unified approach through semi-norms, arXiv:2111.10547v1