Subharmonic functions on Carnot groups
type: Item
instance of: scholarly article
title: Subharmonic functions on Carnot groups
zbMATH Open document ID: 1017.31003
author: Andrea Bonfiglioli
author: Ermanno Lanconelli
published in: Mathematische Annalen
publication date: 2003-03-27T00:00:00Z
review text: The authors develop a potential theory for \(\Delta_G\)-subharmonic functions in \(\mathbb{R}^N\), where \(\Delta_G\) is the sub-Laplacian in a Carnot group \(G\). The main results are analogues to Riesz representation and Poisson-Jensen formulas, Nevanlinna type theorems, and a characterization of the \(\Delta_G\)-Riesz measures of upper bounded \(\Delta_G\)-subharmonic functions on the whole \(\mathbb{R}^N\).
Mathematics Subject Classification ID: 31C05
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 1889256
zbMATH Keywords: hypoelliptic operator
zbMATH Keywords: subharmonic functions
zbMATH Keywords: potential theory
zbMATH Keywords: sub-Laplacian
zbMATH Keywords: Carnot group
MaRDI profile type: Publication
full work available at URL: s00208-002-0371-z
OpenAlex ID: W2039270744
DOI: 10.1007/S00208-002-0371-Z
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description: scientific article; zbMATH DE number 1889256