论文标题

Kuelbs-Steadman空间用于Banach太空值措施

Kuelbs-Steadman spaces for Banach space-valued measures

论文作者

Boccuto, Antonio, Hazarika, Bipan, Kalita, Hemanta

论文摘要

我们介绍了Kuelbs-Steadman型空间,以实现实用值的功能,相对于可计算的添加度量,在Banach空间中取值。我们研究了它们的主要属性和嵌入在$ l^p $ -Type空间中,考虑到与涉及积分的规范收敛相关的规范以及与积分的弱收敛有关的规范。

We introduce Kuelbs-Steadman-type spaces for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate their main properties and embeddings in $L^p$-type spaces, considering both the norm associated to norm convergence of the involved integrals and that related to weak convergence of the integrals.

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