Integral operators in the spaces of functions of bounded Schramm variation

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.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2026-02-19
DOI
https://doi.org/10.1186/s13660-025-03420-5
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Integral operators in the spaces of functions of bounded Schramm variation

Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
Journal of Inequalities and Applications
Advanced Banach Space Theory
article

Integral operators in the spaces of functions of bounded Schramm variation

Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
article en

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.

Journal of Inequalities and Applications
University of Gdańsk (PL), Adam Mickiewicz University in Poznań (PL)
Reduced inequalities
Openalex Percentile: Top 45%
Advanced Banach Space Theory
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