Martingale proof of the existence of Lebesgue points
type: Item
instance of: scholarly article
title: Martingale proof of the existence of Lebesgue points
zbMATH Open document ID: 0701.26009
author: Michał Morayne
author: Sławomir Solecki
published in: Real Analysis Exchange
publication date: 1990-01-01T00:00:00Z
review text: The usual proof of the existence of Lebesgue points of a summable function is via Vitali's covering theorem or its modifications. In this paper it is shown an alternative proof which is based on Lévy's martingale convergence theorem.
reviewed by: Zbigniew Grande
Mathematics Subject Classification ID: 26B05
Mathematics Subject Classification ID: 28A15
Mathematics Subject Classification ID: 60G46
zbMATH DE Number: 4148450
zbMATH Keywords: Lebesgue points
zbMATH Keywords: summable function
zbMATH Keywords: Lévy's martingale convergence theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4148450