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Abstract <p> We study several normed spaces of measurable mappings with values in spaces of bounded measures. Such spaces of mappings arise naturally in connection with disintegrations of measures and are larger than the classical space of Bochner integrable mappings. They are defined by means of setwise integrability or by means of Kantorovich–Rubinshtein-type norms. </p>

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Integration of Functions with Values in Spaces of Measures

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Miloš Arsenović,
  • Vladimir I. Bogachev,
  • Mihailo Krstić

摘要

Abstract

We study several normed spaces of measurable mappings with values in spaces of bounded measures. Such spaces of mappings arise naturally in connection with disintegrations of measures and are larger than the classical space of Bochner integrable mappings. They are defined by means of setwise integrability or by means of Kantorovich–Rubinshtein-type norms.