A general rearrangement inequality for multiple integrals

H. J. Brascamp; Elliott H. Lieb; J. M. Luttinger

doi:10.1016/0022-1236(74)90013-5

A general rearrangement inequality for multiple integrals

H. J. Brascamp, Elliott H. Lieb, J. M. Luttinger

Mathematics

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227 Scopus citations

Abstract

In this paper we prove a rearrangement inequality that generalizes inequalities given in the book 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.

Original language	English (US)
Pages (from-to)	227-237
Number of pages	11
Journal	Journal of Functional Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(74)90013-5
State	Published - Oct 1974

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/0022-1236(74)90013-5

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title = "A general rearrangement inequality for multiple integrals",

abstract = "In this paper we prove a rearrangement inequality that generalizes inequalities given in the book by Hardy, Littlewood and P{\'o}lya1 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.",

author = "Brascamp, {H. J.} and Lieb, {Elliott H.} and Luttinger, {J. M.}",

note = "Funding Information: partially supported by National Science Foundation Grant GP-16147 A#1 . partially supported by National Science Foundation Grant GP-31674 X. partially supported by a grant from the National Science Foundation.",

year = "1974",

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AU - Brascamp, H. J.

AU - Lieb, Elliott H.

AU - Luttinger, J. M.

N1 - Funding Information: partially supported by National Science Foundation Grant GP-16147 A#1 . partially supported by National Science Foundation Grant GP-31674 X. partially supported by a grant from the National Science Foundation.

PY - 1974/10

Y1 - 1974/10

N2 - In this paper we prove a rearrangement inequality that generalizes inequalities given in the book 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.

AB - In this paper we prove a rearrangement inequality that generalizes inequalities given in the book 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.

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A general rearrangement inequality for multiple integrals

Abstract

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