Subharmonic functions in sub-Riemannian settings

Subharmonic functions in sub-Riemannian settings

In this note we present mean value characterizations of subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution ¡. These characterizations are based on suitable average operators on the l...

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Main Author: Ermanno Lanconelli
Format: Article
Language:English
Published: University of Bologna 2010-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2252
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spelling doaj-99f43be9e17e469ca3a60d303bb964de2020-11-25T00:44:47ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292010-12-01112132Subharmonic functions in sub-Riemannian settingsErmanno Lanconelli0Università di BolognaIn this note we present mean value characterizations of subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution ¡. These characterizations are based on suitable average operators on the level sets of ¡. Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach and Reade. The results presented here generalize and carry forward former results of the authors in [6, 8].http://mathematicalanalysis.unibo.it/article/view/2252
collection DOAJ
language English
format Article
sources DOAJ
author Ermanno Lanconelli
spellingShingle Ermanno Lanconelli
Subharmonic functions in sub-Riemannian settings
Bruno Pini Mathematical Analysis Seminar
author_facet Ermanno Lanconelli
author_sort Ermanno Lanconelli
title Subharmonic functions in sub-Riemannian settings
title_short Subharmonic functions in sub-Riemannian settings
title_full Subharmonic functions in sub-Riemannian settings
title_fullStr Subharmonic functions in sub-Riemannian settings
title_full_unstemmed Subharmonic functions in sub-Riemannian settings
title_sort subharmonic functions in sub-riemannian settings
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2010-12-01
description In this note we present mean value characterizations of subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution ¡. These characterizations are based on suitable average operators on the level sets of ¡. Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach and Reade. The results presented here generalize and carry forward former results of the authors in [6, 8].
url http://mathematicalanalysis.unibo.it/article/view/2252
work_keys_str_mv AT ermannolanconelli subharmonicfunctionsinsubriemanniansettings
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