[Banach] Abstract of a paper by Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin and Zhi Yin

This is an announcement for the paper "Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales" by Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin and Zhi Yin.

Abstract: We prove that atomic decomposition for the Hardy spaces h_1 and H_1 is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative martingales h_p and bmo form interpolation scales with respect to both complex and real interpolations.

Archive classification: math.OA math.FA

Mathematics Subject Classification: 46L53, 46L52

The source file(s), ncatom_interp.tex: 58773 bytes, is(are) stored in gzipped form as 0906.4437.gz with size 16kb. The corresponding postcript file has gzipped size 115kb.

Submitted from: mathilde.perrin@univ-fcomte.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0906.4437

or

http://arXiv.org/abs/0906.4437

or by email in unzipped form by transmitting an empty message with subject line

uget 0906.4437

or in gzipped form by using subject line

get 0906.4437

to: math@arXiv.org.