Characterization of the upper Assouad codimension

Josh Kline; Antti V. Vähäkangas

doi:10.2969/jmsj/92549254

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Characterization of the upper Assouad codimension

Josh Kline, Antti V. Vähäkangas

著者情報

キーワード: Assouad codimension, Aikawa codimension, local fractional Hardy inequality

ジャーナル認証あり

2025 年 77 巻 4 号 p. 1249-1267

DOI https://doi.org/10.2969/jmsj/92549254

詳細

抄録

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 a variant of a local fractional Hardy inequality.