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

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Spaces of Measure-Valued Mappings Connected with Disintegrations

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • M. Arsenović,
  • V. I. Bogachev,
  • M. Krstić

摘要

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