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A general rearrangement inequality
Authors:Cristina Draghici
Affiliation:Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
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 $AL_m$.

Keywords:Symmetrization   rearrangement   integral inequality
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