On local Khintchine inequalities for spaces of exponential integrability

Javier Carrillo-Alanís
2011 Proceedings of the American Mathematical Society  
We prove a local version of the Khintchine inequality for the spaces Exp L p ([0, 1]) of functions having p-th exponential integrability, for 1 ≤ p ≤ 2. The result also holds for the lacunary Walsh series.
doi:10.1090/s0002-9939-2011-10890-6 fatcat:tf3qjhhxlffuboi47ndj2coveu