A General Rearrangement Inequality for Multiple Integrals

H. J. Brascamp, Elliott H. Lieb and J. M. Luttinger
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H. J. Brascamp: The Institute for Advanced Study
Elliott H. Lieb: Massachusetts Institute of Technology, Departments of Mathematics and Physics
J. M. Luttinger: Columbia University, Department of Physics

A chapter in Inequalities, 2002, pp 391-401 from Springer

Abstract: Abstract In this paper we prove a rearrangement inequality that generalizes inequalities given in the b∞k by Hardy, Littlewood and Pólya1 and by Luttinger and Friedberg.2 The inequality for an integral of a product of functions of one variable is further extended to the case of functions of several variables.

Keywords: Characteristic Function; Dimensional Subspace; Isoperimetric Inequality; Multiple Integral; Nonnegative Measurable Function (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_33

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DOI: 10.1007/978-3-642-55925-9_33

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