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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1370-1375
Number of pages	6
Journal	Journal of Mathematical Analysis and Applications
Volume	457
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2017.01.092
Publication status	Published - 2018 Jan 15
Externally published	Yes

Keywords

Bounded variation
Dual space
Integral representation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

year = "2018",

month = jan,

day = "15",

doi = "10.1016/j.jmaa.2017.01.092",

language = "English",

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AU - Fusco, Nicola

AU - Spector, Daniel

PY - 2018/1/15

Y1 - 2018/1/15

N2 - 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.

AB - 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.

KW - Bounded variation

KW - Dual space

KW - Integral representation

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DO - 10.1016/j.jmaa.2017.01.092

M3 - Article

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SP - 1370

EP - 1375

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A remark on an integral characterization of the dual of BV

Abstract

Keywords

ASJC Scopus subject areas

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