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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 26, Fasc. 2,
pages 283 - 313
 

CONSTRUCTIONS OF CONTENTS AND MEASURES SATISFYING A PRESCRIBED SET OF INTEGRAL INEQUALITIES

Jørgen Hoffmann-Jørgensen

Abstract: Let P be a given set of real-valued functions on the set T and let b : P --> R  given functional with values in the extended real line R = [-  oo ,  oo ]. The objective of the paper is to construct contents or measures m with good regularity and smoothness properties satisfying the integral inequalities  integral *fdm < b(f), where  integral * denotes the upper integral.

2000 AMS Mathematics Subject Classification: Primary: 28A12, 28A25; Secondary: 28C05.

Key words and phrases: Contents, measures, functionals, integral representations.

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