A general rearrangement inequality
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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 $AL_m$.References
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Additional Information
- Cristina Draghici
- Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
- Email: cristina.draghici@wmich.edu
- Received by editor(s): September 12, 2003
- Published electronically: October 21, 2004
- Communicated by: David Preiss
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 735-743
- MSC (2000): Primary 26D15, 28A25
- DOI: https://doi.org/10.1090/S0002-9939-04-07729-9
- MathSciNet review: 2113922