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A general rearrangement inequality
Author(s):
Cristina
Draghici
Journal:
Proc. Amer. Math. Soc.
133
(2005),
735-743.
MSC (2000):
Primary 26D15, 28A25
Posted:
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  .
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Additional Information:
Cristina
Draghici
Affiliation:
Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
Email:
cristina.draghici@wmich.edu
DOI:
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
Posted:
October 21, 2004
Communicated by:
David Preiss
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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