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Commutators, paraproducts and BMO in non-homogeneous martingale settings

2010/07/07 by Sergei Treil, Treil, Sergei
Mathematics · #42B25 #42B30 #42C15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B25 #msc:42B30 #msc:42C15

paper · pdf · doi:10.48550/arxiv.1007.1210

39 pages, 1 figure This material is based on the work supported by the National Science Foundation under the grant DMS-0800876. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation

arxiv created 2010/07/07 · arxiv updated 2010/07/08

Abstract

In this paper we investigate the relations between (martingale) BMO spaces, paraproducts and commutators in non-homogeneous martingale settings. Some new, and one might add unexpected, results are obtained. Some alternative proof of known results are also presented.

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