Capacities and Hausdorff measures on metric spaces

DOI10.1007/s13163-015-0174-xzbMath1325.31004arXiv1408.5892OpenAlexW777020730WikidataQ110233652 ScholiaQ110233652MaRDI QIDQ496990

Pekka Koskela, Nijjwal Karak

Publication date: 23 September 2015

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5892

zbMATH Keywords

capacityPoincaré inequalitygeneralized Hausdorff measure

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15) Hausdorff and packing measures (28A78)

Cites Work

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• Lebesgue points via the Poincaré inequality
• Quasiconformal maps in metric spaces with controlled geometry
• Differentiability of Lipschitz functions on metric measure spaces
• Removable sets for Sobolev spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• The Poincaré inequality is an open ended condition
• Orlicz capacities and Hausdorff measures on metric spaces
• Weakly Differentiable Functions
• Sobolev met Poincaré
• NON-LINEAR POTENTIAL THEORY

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