Kuelbs-Steadman Spaces for Banach Space-Valued Measures

被引：5

作者：

Boccuto, Antonio ^{[1
]}

Hazarika, Bipan ^{[2
]}

Kalita, Hemanta ^{[3
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy

[2] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India

[3] Patkai Christian Coll Autonomous, Dept Math, Patkai 797103, Nagaland, India

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

Kuelbs-Steadman space; Henstock-Kurzweil integrable function; vector measure; dense embedding; completely continuous embedding; Kothe space; Banach lattice; INTEGRATION; INTEGRABILITY; RESPECT;

D O I：

10.3390/math8061005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：15

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