A measure-theoretic boundary limit theorem
type: Item
instance of: scholarly article
title: A measure-theoretic boundary limit theorem
zbMATH Open document ID: 0603.31009
DOI: 10.1007/BF01196663
author: Jürgen Bliedtner
author: Peter A. Loeb
published in: Archiv der Mathematik
publication date: 1984-01-01T00:00:00Z
review text: The authors describe in purely measure-theoretic terms, without reference to probability or harmonic functions, the convergence a.e. of an appropriate ratio of positive linear functionals of measures to their Radon-Nikodym derivative. From this result the fine limit theorem of Fatou-Naim-Doob and its extension to general potential theories follow in a few lines.
Mathematics Subject Classification ID: 31C35
Mathematics Subject Classification ID: 28A15
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 3973295
zbMATH Keywords: finite measure space
zbMATH Keywords: superharmonic functions
zbMATH Keywords: positive linear functionals
zbMATH Keywords: Radon-Nikodym derivative
zbMATH Keywords: fine limit theorem
reviewed by: Edwin J. Akutowicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3973295