CONSTRUCTIONS OF CONTENTS AND MEASURES SATISFYING A
PRESCRIBED SET OF INTEGRAL INEQUALITIES
Abstract: Let be a given set of real-valued functions on the set and let
given functional with values in the extended real line The objective of the
paper is to construct contents or measures with good regularity and smoothness properties
satisfying the integral inequalities where denotes the upper integral.
2000 AMS Mathematics Subject Classification: Primary: 28A12, 28A25; Secondary:
Key words and phrases: Contents, measures, functionals, integral representations.