2023•arXiv (Cornell University)Open access

Integral operators in the spaces of functions of bounded Schramm variation

Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak

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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.

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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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Available 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.

Key concepts: Bounded function, Bounded variation, Bounded deformation, Mathematics, Variation (astronomy), Bounded operator, Space (punctuation), Pure mathematics

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