2012/05/29 by Benoît F. Sehba, Benoit F. Sehba, Sehba, Benoit F.
Mathematics · #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.CA #math.CV #math.FA
paper · pdf · doi:10.48550/arxiv.1205.6328
To appear
openalex publication_date 2012/05/29 · arxiv created 2014/05/22 · arxiv updated 2015/03/12 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28
We introduce another notion of bounded logarithmic mean oscillation in the N-torus and give an equivalent definition in terms of boundedness of multi-parameter paraproducts from the dyadic little BMO of Cotlar-Sadosky to the product BMO of Chang-Fefferman. We also obtain a sufficient condition for the boundedness of iterated commutators with Hilbert transforms betweeen the strong notions of these two spaces.