A Kuran type regularity criterion for sub-Laplacians. A necessary and sufficient condition

DOI10.1007/S11118-009-9144-6zbMath1189.31008OpenAlexW1493058471MaRDI QIDQ845812

Andrea Tommasoli

Publication date: 29 January 2010

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-009-9144-6

zbMATH Keywords

sub-Laplacianstratified Lie group\(\mathcal L\)-harmonic function

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Subelliptic equations (35H20)

Cites Work

• Unnamed Item
• Polar coordinates in Carnot groups
• A Poisson-Jensen type representation formula for subharmonic functions on stratified Lie groups
• Subharmonic functions on Carnot groups
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• A New Criterion of Dirichlet Regularity via the Quasi-Boundedness of the Fundamental Superharmonic Function
• Sur le rôle du point à l'infini dans la théorie des fonctions harmoniques

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