Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
Rademacher chaos, combinatorial dimension and discrepancy of set systems
Sergey Astashkin
Samara National Research University, Samara, Russia, Rusya
We focus on density estimates of an index set, under which some unconditionality type properties of the corresponding Rademacher chaos in a symmetric function space X imply its equivalence in X to the canonical l'2-basis. Also we plan to consider some connections between estimates for the Rademacher chaos in L∞ and discrepancy of some set systems.
