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arXiv · 1911.12147

Tamped functions: A rearrangement in dimension 1

Ludovic Godard-Cadillac
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Abstract

We define a new rearrangement, called rearrangement by tamping, for non-negative measurable functions defined on R+. This rearrangement has many properties in common with the well-known Schwarz non-increasing rearrangement such as the P{\'o}lya-Szeg{\"o} inequality. Contrary to the Schwarz rearrangement, the tamping also preserves the homogeneous Dirichlet boundary condition of a function.

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Ludovic Godard-Cadillac. 2019-11-27. Tamped functions: A rearrangement in dimension 1. https://arxiv.org/abs/1911.12147

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