Sur certaines généralisations de l'inégalité de Fefferman
We study the relationship between the translation operator, its dual and the pathwise integral on the Poisson space with weak conditions on the processes.
We introduce an invariant of cohomology in Bernoulli shifts, which is used to answer a question about cohomology of Hölder functions with finitary functions whose coding time is integrable. When restricted to the class of Hölder functions, this invariant even provides a criterion of cohomology.