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arXiv · 2311.12748

Characterization of the upper Assouad codimension

Josh Kline·Antti V. Vähäkangas
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Abstract

We present a new notion, the upper Aikawa codimension, and establish its equivalence with the upper Assouad codimension in a metric space with a doubling measure. To achieve this result, we first prove variant of a local fractional Hardy inequality.

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Josh Kline, Antti V. Vähäkangas. 2023-11-21. Characterization of the upper Assouad codimension. https://arxiv.org/abs/2311.12748

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