Let Ψ be a given set real-valued functions on the set T and β:Ψ→R be a given functional with values in the extended real line. The paper gives sufficent conditions for the exists of a content (or a measure) μ with good regularity and smoothnes properties and with the property that β(ψ) is less than the outer μ-integral of ψ for all ψ in Ψ.
Acta Universitatis Wratislaviensis. Niemcoznawstwo, 2006, Vol 26, Issue 2, p. 283-313
content, measure, functionals, integral representation.