Sobolev martingales
The authors provide a study on atoms' structure on discrete tree spaces. They compare martingales' properties on these tree-spaces and the corresponding properties in the case where random variables of a martingale process lie in classes of Banach Spaces, like Lorentz spaces. A special case of theses results is the one of Sobolev spaces or isomorphic copies of them.
scientific article; zbMATH DE number 7367548
scientific article