<p>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.</p>

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Integral operators in the spaces of functions of bounded Schramm variation

  • Jacek Gulgowski,
  • Piotr Kasprzak,
  • Piotr Maćkowiak

摘要

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.