Functions of bounded variation and polarization
Copyright policy )Functions of bounded variation and polarization
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
symmetrization, polarization, Pòlya-Szegö inequality; polar rearrangement, Symmetrization, Inequalities involving derivatives and differential and integral operators, integral functionals., Pòlya-Szegö inequality, Absolutely continuous real functions of several variables, functions of bounded variation, integral functionals, functions of bounded variation, Variational problems in a geometric measure-theoretic setting, polar rearrangement
symmetrization, polarization, Pòlya-Szegö inequality; polar rearrangement, Symmetrization, Inequalities involving derivatives and differential and integral operators, integral functionals., Pòlya-Szegö inequality, Absolutely continuous real functions of several variables, functions of bounded variation, integral functionals, functions of bounded variation, Variational problems in a geometric measure-theoretic setting, polar rearrangement
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