The domination principle for the sum of squares of vector fields
type: Item
instance of: scholarly article
title: The domination principle for the sum of squares of vector fields
zbMATH Open document ID: 0655.31008
published in: Expositiones Mathematicae
publication date: 1988-01-01T00:00:00Z
review text: Let G denote the Green function on a domain \(\Omega\) which belongs to a subelliptic operator of the form \[ L=\sum^{n}_{j=1}X^ 2_ j+\sum^{n}_{i,j=1}f_{ij}[X_ i,X_ j]+\sum^{n}_{j=1}f_ jX_ j+f_ 0, \] where the coefficients satisfy similar assumptions as in a paper of \textit{A. Sánchez-Calle} [Invent. Math. 78, 143-160 (1984; Zbl 0582.58004)]. Let \(\mu\), \(\nu\) Radon measures on \(\Omega\) such that the potential \(G\mu\) of \(\mu\) is finite and such that \(G\nu\geq G\mu\) holds on the support of \(\mu\). It is shown that this implies \(G\nu\geq G\mu\).
Mathematics Subject Classification ID: 31D05
zbMATH DE Number: 4069290
zbMATH Keywords: Green function
zbMATH Keywords: subelliptic operator
zbMATH Keywords: Radon measures
zbMATH Keywords: support
author: Hermann Hueber
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4069290