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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A general rearrangement inequality


Author: Cristina Draghici
Journal: Proc. Amer. Math. Soc. 133 (2005), 735-743
MSC (2000): Primary 26D15, 28A25
Published electronically: October 21, 2004
MathSciNet review: 2113922
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Abstract: We prove a general rearrangement inequality for multiple integrals, using polarization. We introduce a special class of kernels for which the product inequality holds, and then we prove that it also holds when the product is replaced by a so-called function $AL_m$.


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Additional Information

Cristina Draghici
Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
Email: cristina.draghici@wmich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07729-9
PII: S 0002-9939(04)07729-9
Keywords: Symmetrization, rearrangement, integral inequality
Received by editor(s): September 12, 2003
Published electronically: October 21, 2004
Communicated by: David Preiss
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.