2014/12/16 by José M. Conde-Alonso, Conde-Alonso, José M., Luis Daniel López-Sánchez +1
Mathematics · #42B20 #42B25 #42C40 #46L51 #46L52 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.CA #math.FA #math.OA #msc:42B20 #msc:42B25 #msc:42C40 #msc:46L51 #msc:46L52
paper · pdf · doi:10.48550/arxiv.1412.4937
arxiv created 2014/12/16 · arxiv updated 2014/12/17
We obtain a complete characterization of the weak-type (1,1) for Haar shift operators in terms of generalized Haar systems adapted to a Borel measure μ in the operator-valued setting. The main technical tool in our method is a noncommutative Calderón-Zygmund decomposition valid for arbitrary Borel measures.