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arXiv · 2302.12300

An Integral Version of Hardy's Inequality

Mattia Calzi
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Abstract

In this note we present a version of Hardy's inequality on a measure space $(X,\mu)$ endowed with a measurable function $N\colon X\to \mathbb R$ which replaces the absolute value on $\mathbb R$ or $\mathbb R^n$, and, more generally, the distance function from a given point when $X$ is a metric space.

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Mattia Calzi. 2023-02-23. An Integral Version of Hardy's Inequality. https://arxiv.org/abs/2302.12300

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