A note on the dimensions of Assouad and Aikawa

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概要

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• We show that in Euclidean space and other regular metric spaces, the notions of dimensions defined by Assouad and Aikawa coincide. In addition, in more general metric spaces, we study the relationship between these two dimensions and a related codimension and give an application of the Aikawa (co)dimension for the Hardy inequalities.

• The Mathematical Society of Japanの論文
• 2013-04-01

著者

• LEHRBACK Juha

  Department of Mathematics and Statistics University of Jyvaskyla

• TUOMINEN Heli

  Department of Mathematics and Statistics University of Jyvaskyla

関連論文

• A note on the dimensions of Assouad and Aikawa

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