A Simple Example of Pathological Submeasure.
A simplified multidimensional integral
We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained more quickly. We also give a characterization of the integrable functions and their primitives.
A Theorem on the Extension of Measures in Uniform Spaces
A unified approach to Riesz type representation theorems
A uniqueness property for measures on
Abschätzung der Hausdorffdimension für Mengen mit vorgeschriebenen Häufigkeiten der Ziffern.
Absolute continuity and hyponormal operators.
Abstract Formulation of Some Theorems of Measure Theory. II.
Accumulation Points of the Lagrange and Markov Spectra.
Algèbres d’ensembles sur lesquelles toutes les mesures -additives sont bornées
An elementary proof of the Fubini-Stone theorem
An existence result on partitioning of a measurable space: Pareto optimality and core
This paper investigates the problem of optimal partitioning of a measurable space among a finite number of individuals. We demonstrate the sufficient conditions for the existence of weakly Pareto optimal partitions and for the equivalence between weak Pareto optimality and Pareto optimality. We demonstrate that every weakly Pareto optimal partition is a solution to the problem of maximizing a weighted sum of individual utilities. We also provide sufficient conditions for the existence of core partitions...
An Extended Notion of Refinement-Unboundedness.
An Extension of the Daniell Integration Scheme
Approximately additive set functions
Approximation of smooth functions and covering properties of sets
Baire category results for quasi–copulas
The aim of this manuscript is to determine the relative size of several functions (copulas, quasi– copulas) that are commonly used in stochastic modeling. It is shown that the class of all quasi–copulas that are (locally) associated to a doubly stochastic signed measure is a set of first category in the class of all quasi– copulas. Moreover, it is proved that copulas are nowhere dense in the class of quasi-copulas. The results are obtained via a checkerboard approximation of quasi–copulas.
Berichtigung zu der Arbeit "Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen". Math. Z. 144, 125 - 134 (1975).
Borel structures for function spaces
Brownian motion, approximation of functions, and Fourier analysis