A Theorem on General Measure

A Theorem on General Measure
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一般测度定理

DOI:
10.1112/jlms/s1-21.4.291
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发表时间:
1946
影响因子:
1.2
通讯作者:
R. Rado
R. Rado
中科院分区:
数学2区
文献类型:
--
作者:
R. Rado

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1.设f(x,y)是两个实变量x,y的非负函数,在整个z平面R上可积,在勒贝格意义下是可积的。BH Neumann%证明了存在一个点P*,它的性质是对任何半平面H都有一条通过p*的直线。
1. Let f (x, y) be a non-negative function, of two real variables x, y, which is integrable, say in the Lebesgue sense, over the whole zy-plane R. It was proved by BH Neumann% that there exists a point P* which has the property that for any half-plane H bounded by a straight line through p*