Doubly stochastic measures with mass on the graphs of two functions
type: Item
instance of: scholarly article
title: Doubly stochastic measures with mass on the graphs of two functions
zbMATH Open document ID: 0639.60001
author: B. George
published in: Real Analysis Exchange
publication date: 1988-01-01T00:00:00Z
review text: A doubly stochastic measure is a Borel probability measure P on the unit square \(I^ 2\) such that \(P(I\times A)=P(A\times I)=m(A)\), where m is the Lebesgue measure and A is a Borel subset of [0,1]. Let L and H be two nondecreasing maps of [0,1] into itself such that \(L\circ H(t)<t\), \(H\circ L(t)<t\) on (0,1). The authors have shown that the union of the graphs of L and H can support at most one doubly stochastic measure.
reviewed by: A. Mukherjea
Mathematics Subject Classification ID: 60A10
Mathematics Subject Classification ID: 28A33
Mathematics Subject Classification ID: 28A35
zbMATH DE Number: 4042916
zbMATH Keywords: graphs of functions
zbMATH Keywords: doubly stochastic measure
zbMATH Keywords: support
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4042916