Certain Integral Equalities which Imply Equimeasurability of Functions
Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 827-844

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1.1. Two complex measurable functions/ and g on complex measure spaces (X, η) and (Y, v) are equimeasurable, abbreviated ƒ ∼ g, if for every Borel set E ⊆ C. If Φ is a continuous complex function on C, then we make the following standing hypothesis (HI) which relates Φ, f, and g:(HI) For all α, β ∊ C, we have
Stephenson, Kenneth. Certain Integral Equalities which Imply Equimeasurability of Functions. Canadian journal of mathematics, Tome 29 (1977) no. 4, pp. 827-844. doi: 10.4153/CJM-1977-085-5
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