From weak to strong types of LE1L_E^1-convergence by the Bocce-criterion

Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space \l1 to be norm convergent (resp. relatively norm compact), thus extending the known results for \rl1. Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in \l1. It is shown that tightness is a necessary and sufficient condition to pass from limited to strong convergence. Other implications between several modes of convergence in \l1 are also studied

Lectures on Young Measure Theory and its Applications in Economics

A quick and very extensive introduction to the subject of Young measure is given. It is based on a particular method to transfer the classical theory of narrow convergence of probability measure into a corresponding, but richer theory of narrow convergence of transition probabilities. This method centers around a Prohorov-type extension of Komlós' theorem. Applications of this theory to existence questions in economics include optimal growth, optimal consumption, Cournot-Nash equilibrium distributions, Nash equilibria in continuum games and in games with incomplete informatio

Lectures on Young Measure Theory and its Applications in Economics

this paper we work with the following hypothesis