Functions of bounded variation and polarization |
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| Authors: | Angela Alberico Adele Ferone Roberta Volpicelli |
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| Affiliation: | 1. Istituto per le Applicazioni del Calcolo “M. Picone”, Sezione di Napoli – CNR, Via P. Castellino 111, I–80131 Napoli, Italy;2. Phone: +39 081 6132391, Fax: +39 081 6132597;3. Seconda Università di Napoli, Dipartimento di Matematica, Via Vivaldi 43, I–81100 Caserta, Italy;4. Università di Napoli “Federico II”, Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, Italy;5. Phone: +39 081 675673, Fax: +39 081 7662106 |
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| Abstract: | ![]()
It is known that, if u is a real valued function on ?N of bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation of u and that one of its polar uΠ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Symmetrization polarization functions of bounded variation integral functionals |
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