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Subharmonic functions on Carnot groups

Authors :
Andrea Bonfiglioli
Ermanno Lanconelli
Source :
Mathematische Annalen. 325:97-122
Publication Year :
2003
Publisher :
Springer Science and Business Media LLC, 2003.

Abstract

Many results of classical Potential Theory are extended to sub-Laplacians ▵𝔾 on Carnot groups 𝔾. Some characterizations of ▵𝔾-subharmonicity, representation formulas of Poisson-Jensen's kind and Nevanlinna-type theorems are proved. We also characterize the Riesz-measure related to bounded-above ▵𝔾-subharmonic functions in ℝ N .

Subjects

Subjects :
Mathematics::Functional Analysis
Pure mathematics
Subharmonic
Subharmonic function
Mathematics::Complex Variables
General Mathematics
Carnot group
Mathematics::Spectral Theory
Potential theory
symbols.namesake
Calculus
symbols
Mathematics::Metric Geometry
Carnot cycle
Representation (mathematics)
Mathematics

Details

ISSN :
14321807 and 00255831
Volume :
325
Database :
OpenAIRE
Journal :
Mathematische Annalen
Accession number :
edsair.doi...........e2f86e90f8c99cdcc77907dd1d161ad1

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