Logarithmic mean oscillation on the polydisc, endpoint results for\n multi-parameter paraproducts, and commutators on BMO

2012/01/04 by Sandra Pott, Pott, Sandra, Benoît F. Sehba +1
Mathematics · #42B30 #42B37 (Primary) 42B20 (Secondary) #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1201.1025

openalex publication_date 2012/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study boundedness properties of a class of multiparameter paraproducts on\nthe dual space of the dyadic Hardy space H_d¹(T^N), the dyadic product BMO\nspace BMO_d(T^N). For this, we introduce a notion of logarithmic mean\noscillation on the polydisc. We also obtain a result on the boundedness of\niterated commutators on BMO([0,1]²).\n

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