Abstract

We present a method of starting with two measures μ1 and μ2 defined on disjoint rings R1 and R2 respectively, and defining another measure which is an extension of both μ1 and μ2. The method is a generalization of a classical method of extending a measure. An outer measure μ* is defined on a hereditary σ – ring H(R1, R2) which is a superset of both R1 and R2, and then a complete measure on the class of μ*-measurable sets that belong to H(R1, R2) is defined in terms of μ*.

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