[Banach] Abstract of a paper by Mark Veraar, Ivan Yaroslavtsev

This is an announcement for the paper “Pointwise properties of martingales with values in Banach function spaces” by Mark Veraar<https://arxiv.org/find/math/1/au:+Veraar_M/0/1/0/all/0/1>, Ivan Yaroslavtsev<https://arxiv.org/find/math/1/au:+Yaroslavtsev_I/0/1/0/all/0/1>. Abstract: In this paper we consider local martingales with values in a UMD Banach function space. We prove that such martingales have a version which is a martingale field. Moreover, a new Burkholder--Davis--Gundy type inequality is obtained. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1803.11063