Pith. sign in

REVIEW

Theory of H_p-spaces for continuous filtrations in von Neumann algebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1301.2071 v2 pith:OQT2D7YT submitted 2013-01-10 math.OA math.FA

Theory of H_p-spaces for continuous filtrations in von Neumann algebras

Marius Junge , Mathilde Perrin This is my paper
classification math.OA math.FA
keywords algebrasburkholdercontinuousneumannnoncommutativeprovetheoryallow
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We introduce Hardy spaces for martingales with respect to continuous filtration for von Neumann algebras. In particular we prove the analogues of the Burkholder/Gundy and Burkholder/Rosenthal inequalities in this setting. The usual arguments using stopping times in the commutative case are replaced by tools from noncommutative function theory and allow us to obtain the analogue of the Feffermann-Stein duality and prove a noncommutative Davis decomposition.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.