Weighted ergodic theorems for Banach-Kantorovich lattice $L_{p}(\hat{\nabla},\hat{\mu})$

Abstract

In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on $L_p(\hat{\nabla},\hat{\mu})$. Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.