A general rearrangement inequality

Draghici, Cristina

doi:10.1090/S0002-9939-04-07729-9

A general rearrangement inequality
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Proc. Amer. Math. Soc. 133 (2005), 735-743 Request permission

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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