Duality of moduli in regular metric spaces

DOI10.1512/iumj.2021.70.8433zbMath1477.30052arXiv1911.04807OpenAlexW3175859410WikidataQ109931165 ScholiaQ109931165MaRDI QIDQ5153376

Atte Lohvansuu, Kai Rajala

Publication date: 29 September 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04807

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric geometry (51F99) Length, area, volume, other geometric measure theory (28A75) Quasiconformal mappings in metric spaces (30L10)

Related Items (2)

On the sharp lower bound for duality of modulus ⋮ Topological Hausdorff dimension and Poincaré inequality

Cites Work

• Extremal length and functional completion
• Extremal length definitions for the conformal capacity of rings in space
• Quasiconformal maps in metric spaces with controlled geometry
• Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities
• Geometric implications of the Poincaré inequality
• Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces
• Lectures on \(n\)-dimensional quasiconformal mappings
• Metric and geometric quasiconformality in Ahlfors regular Loewner spaces
• Extremal Length and Conformal Capacity
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