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2010-03-16
On the necessity of the assumptions used to prove Hardy-Littlewood and Riesz Rearrangement Inequalities 1
Hichem Hajaiej
文献摘要
We prove that supermodularity is a necessary condition for the generalized Hardy- Littlewood and Riesz rearrangement inequalities. We also show the necessity of the monotonicity of the kernels involved in the Riesz{type integral.
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