Rademacher functions in Cesàro type spaces

Abstract

It is well known that the norms of many Banach spaces, playing a significant role in functional analysis and its applications, are generated by positive sublinear operators and the Lp-norms. In particular, rather simple and both important spaces of such a type are the Cesaro spaces Cesp, 1 ≤ p ≤∞. In this chapter, we investigate the behaviour of the Rademacher system in function spaces of the Cesaro type.