A remark on an integral characterization of the dual of BV

Nicola Fusco; Daniel Spector

doi:10.1016/j.jmaa.2017.01.092

A remark on an integral characterization of the dual of BV

Nicola Fusco
, Daniel Spector^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

8 引文斯高帕斯（Scopus）

摘要

In this paper, we show how under the continuum hypothesis one can obtain an integral representation for elements of the topological dual of the space of functions of bounded variation in terms of Lebesgue and Kolmogorov–Burkill integrals.

原文	英語
頁（從 - 到）	1370-1375
頁數	6
期刊	Journal of Mathematical Analysis and Applications
卷	457
發行號	2
DOIs	https://doi.org/10.1016/j.jmaa.2017.01.092
出版狀態	已發佈 - 2018 1月 15
對外發佈	是

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10.1016/j.jmaa.2017.01.092

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title = "A remark on an integral characterization of the dual of BV",

abstract = "In this paper, we show how under the continuum hypothesis one can obtain an integral representation for elements of the topological dual of the space of functions of bounded variation in terms of Lebesgue and Kolmogorov–Burkill integrals.",

keywords = "Bounded variation, Dual space, Integral representation",

author = "Nicola Fusco and Daniel Spector",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

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AU - Spector, Daniel

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KW - Bounded variation

KW - Dual space

KW - Integral representation

UR - https://www.scopus.com/pages/publications/85011552146

UR - https://www.scopus.com/pages/publications/85011552146#tab=citedBy

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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A remark on an integral characterization of the dual of BV

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ASJC Scopus subject areas

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