High dimensional probability III

About this book

In the theory of empirical processes and uniform convergence of stochastic processes, non-measurable norms and non-measurable "random elements" occur naturally and a crucial part of the theory consists in extending the classical inequalities (Levy's inequality, Ottaviani's inequality, Jensen's inequality, the symmetrization inequalities, the exponential inequality and the subgaussian inequalities) to vector valued non-measurable functions under various independence and regularity conditions.