Central Limit Theorem in Lebesgue-Riesz spaces for weakly dependent random sequences (1912.00338v2)

Abstract: We deduce sufficient conditions for the Central Limit Theorem (CLT) in the Lebesgue-Riesz space L(p) defined on some measure space for the sequence of centered random variables satisfying the strong mixing (Rosenblatt) condition. We investigate the asymptotical as well as non-asymptotical approach.