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Certain Integral Equalities which Imply Equimeasurability of Functions

Published online by Cambridge University Press:  20 November 2018

Kenneth Stephenson
Kenneth Stephenson*
Affiliation:
University of Wisconsin, Madison, Wisconsin
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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

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 4 , 01 August 1977 , pp. 827 - 844
Copyright
Copyright © Canadian Mathematical Society 1977

References

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