Conformal Assouad dimension and modulus
type: Item
instance of: scholarly article
title: Conformal Assouad dimension and modulus
zbMATH Open document ID: 1108.28008
author: Niranjan Chakravarthy
published in: Geometric and Functional Analysis. GAFA
publication date: 2005-04-29T00:00:00Z
review text: In their main theorem the authors study \(\alpha\)-homogeneous metric measure spaces \((X,d,\mu)\) with conformal Assouad dimension equal to \(\alpha\geq1\). They prove that there is a weak tangent of \((X,d,\mu)\) with uniformly large 1-modulus. Many interesting results are verified as consequences of the main theorem. The paper is carefully written; the intricate proofs and definitions are given in great detail. A detailed introduction is also included.
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 30C65
Mathematics Subject Classification ID: 28C15
zbMATH DE Number: 2162385
zbMATH Keywords: Metric measure spaces
zbMATH Keywords: modulus estimates
zbMATH Keywords: weak tangents
MaRDI profile type: Publication
full work available at URL: s00039-004-0492-5
OpenAlex ID: W1965936949
DOI: 10.1007/S00039-004-0492-5
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description: scientific article; zbMATH DE number 2162385