A remark on an integral characterization of the dual of BV |
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Authors: | Nicola Fusco Daniel Spector |
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Institution: | 1. Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, Napoli, Italy;2. Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan |
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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. |
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Keywords: | Bounded variation Dual space Integral representation |
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