Potential analysis on Carnot groups. II: Relationship between Hausdorff measures and capacities

DOI10.1007/s10114-003-0297-8zbMath1069.22004OpenAlexW2045158514MaRDI QIDQ1888698

Guozhen Lu

Publication date: 26 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0297-8

zbMATH Keywords

Sobolev spacesHausdorff measuresBessel capacitiesstratified groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Potentials and capacities on other spaces (31C15)

Related Items (2)

The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups ⋮ Quasilinear equations with source terms on Carnot groups

Cites Work

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• Minimax Theorems

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