@article{77d8a6d4e27641468f943bb2f4786dd4,
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 = "Funding Information: The authors would like to thank Ulrich Menne for pointing out a reference in Federer's book and Cindy Chen for her assistance in obtaining some of the articles utilized in the researching of this paper. N.F. supported by PRIN 2015PA5MP7 {\textquoteleft}Calcolo delle Variazioni{\textquoteright}, D.S. supported by the Taiwan Ministry of Science and Technology under research grant 105-2115-M-009-004-MY2 . Part of this work was written while N.F. was visiting NCTU with support from the National Center for Theoretical Sciences . Funding Information: The authors would like to thank Ulrich Menne for pointing out a reference in Federer's book and Cindy Chen for her assistance in obtaining some of the articles utilized in the researching of this paper. N.F. supported by PRIN 2015PA5MP7 ?Calcolo delle Variazioni?, D.S. supported by the Taiwan Ministry of Science and Technology under research grant 105-2115-M-009-004-MY2. Part of this work was written while N.F. was visiting NCTU with support from the National Center for Theoretical Sciences. Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",
year = "2018",
month = jan,
day = "15",
doi = "10.1016/j.jmaa.2017.01.092",
language = "English",
volume = "457",
pages = "1370--1375",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}