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Published online by Cambridge University Press: 24 October 2008
Statement of results. Let g(x) be a given real finite function of a real variable x. Let F(g) denote the class of all real Lebesgue-measurable and finite (though possibly unbounded) functions f(x) which satisfy where η may depend upon f Let F* denote the class of all real f(x) such that
exists and satisfies − ∞ ≤l<+∞.