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