The extension of Grishin's lemma to excessive measures
type: Item
instance of: scholarly article
title: The extension of Grishin's lemma to excessive measures
zbMATH Open document ID: 0890.31007
DOI: 10.1023/A:1017916115791
author: Valentin Grecea
published in: Potential Analysis
publication date: 1998-06-25T00:00:00Z
review text: The author proves a version of Grishin's lemma for excessive measures with respect to a submarkovian resolvent of positive kernels on a measurable space. In classical potential theory the Grishin lemma states that for any positive \(\delta \)-superharmonic function \(w\) the Riesz charge \(\mu [w]\) satisfies \(\mu [w]\leq 0\) on the set \(\left\{ x:w\left( x\right) =0\right\} \). The author also proves how Fuglede's version of Grishin's lemma is obtained from his result.
Mathematics Subject Classification ID: 31D05
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J35
zbMATH DE Number: 1080068
zbMATH Keywords: H-cones
zbMATH Keywords: excessive measures
zbMATH Keywords: resolvents
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1080068