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arXiv · 2307.06665

A Logarithmic Uncertainty Principle for Functions with Radial Symmetry

Jacopo Bellazzini·Matteo Nesi
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Abstract

In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that, unlike the general case, it is not known.

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Jacopo Bellazzini, Matteo Nesi. 2023-07-13. A Logarithmic Uncertainty Principle for Functions with Radial Symmetry. https://doi.org/10.1017/s001309152500015x

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