2008/05/06 by Óscar Blasco, Oscar Blasco, Sandra Pott +2
Mathematics · #42B30 #42B35 (Primary) #47B35 (Secondary) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:42B30 #msc:42B35 #msc:47B35
paper · pdf · doi:10.48550/arxiv.0805.0620
to appear in Illinois J. Math
arxiv created 2008/05/06 · openalex publication_date 2008/05/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO. We also give sharp dimensional growth estimates for the sweep of functions and its bilinear extension in some of those different dyadic BMO spaces.