Document Zbl 1489.60071

Ayoush, Rami; Stolyarov, Dmitriy M.; Wojciechowski, Michal

Sobolev martingales. (English) Zbl 1489.60071

Rev. Mat. Iberoam. 37, No. 4, 1225-1246 (2021).

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.

Reviewer: Christos E. Kountzakis (Karlovassi)

Cited in 8 Documents

MSC:

60G46	Martingales and classical analysis
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

structure of atoms in measure spaces; discrete-trees’ martingales

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