2 papers
math.PR2024
Decomposition of an -bounded martingale and Applications in Riesz spaces
Mounsif Niouar, Tarik Boukara, Kawtar Ramdane +1
In this work, we give a decomposition of a martingale into three martingales with applications to certain types of inequalities in the new theory of Stochastic Analysis in Vector L…
math.FA2021
Burkholder Theorem in Riesz spaces
Youssef Azouzi, Kawtar Ramdane
The main purpose of this paper is to give a vector lattice version of a Theorem by Burkholder about convergence of martingales. The proof is based on a vector lattice analogue of A…