Hyperspaces that satisfy \(cc\)-homogeneous cone condition on canonical Heisenberg and Engel groups

DOI10.33048/SEMI.2019.16.062zbMath1421.43003OpenAlexW3015811669MaRDI QIDQ2323141

Aleksandr Valer'evich Greshnov

Publication date: 30 August 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.062

zbMATH Keywords

hyperspaceHeisenberg groupEngel group\(cc\)-homogeneous cone\(cc\)-uniform domainCarnot-Carath'eodory metricinner coneouter cone

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80)

Cites Work

• Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Regular domains in homogeneous groups
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