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arXiv 1906.07019math.FA
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由可积函数确定的多值函数

Multifunctions determined by integrable functions

D. Candeloro, L. Di Piazza, K. Musial, A. R. Sambucini

摘要:

研究了由向量值函数确定的集值函数的积分性质。这样的多功能经常作为例子和反例。特别是可以观察到,在Bochner,McShane或Birkhoff意义上可积的性质可以转移到生成的多功能,而Henstock可积性并不保证它。

英文摘要:

Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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