Non-uniform integrability and generalized Young measures.
Note on the integral with respect to the pre-measure
Notes on integration
On a maximum principle in potential theory
On a theorem concerning uniform integrability.
On an Ordering for Probability Measures and a Corresponding Integral Representation.
On sequence of additive set functions
On the double -integral.
On the infimum convolution inequality
We study the infimum convolution inequalities. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we prove an optimal IC inequality for product log-concave measures and for uniform measures on the balls. Such an optimal inequality implies, for a given measure,...
On the inner Daniell-Stone and Riesz representation theorems.
On the integration of set-valued mappings in a Banach space
On the Kluvánek Construction of the Lebesgue Integral
I. Kluvánek suggested to built the Lebesgue integral on a compact interval in the real line by the help of the length of intervals only. In the paper a modification of the Kluvánek construction is presented applicable to abstract spaces, too.
On weighted inequalities for ergodic operators
Pointwise Compactness and Weakly Compact Sets in L...
Prémesures et mesures sur les espaces compactologiques
Quantitative estimates of N.N. Luzin's C-property for classes of integrable functions
Quantum logics with classically determined states
Reduction of semialgebraic constructible functions
Let R be a real closed field with a real valuation v. A ℤ-valued semialgebraic function on Rⁿ is called algebraic if it can be written as the sign of a symmetric bilinear form over R[X₁,. .., Xₙ]. We show that the reduction of such a function with respect to v is again algebraic on the residue field. This implies a corresponding result for limits of algebraic functions in definable families.
Regulated functions and the Perron-Stieltjes integral
R-freie Integrationstheorie. I.