On the necessity of the assumptions used to prove Hardy-Littlewood and Riesz Rearrangement Inequalities 1

Abstract

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.

8 pages

Cited by in corpus (1)

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