This is an announcement for the paper "Noncommutative weak Orlicz spaces and martingale inequalities" by Turdebek N. Bekjan, Zeqian Chen, and Peide Liu.

Abstract: This paper is devoted to the study of noncommutative weak Orlicz spaces. Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. In particular, we prove the Burkholder-Gundy inequality in the setting of noncommutative weak Orlicz spaces.

Archive classification: math.FA

Remarks: 26 pages

Submitted from: zqchen@wipm.ac.cn

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

http://front.math.ucdavis.edu/1006.0091

or

http://arXiv.org/abs/1006.0091