Multilinear Dyadic Operators And Their Commutators

2015/12/12 by Kunwar, Ishwari
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.03865

Abstract

We introduce multilinear analogues of dyadic paraproduct operators and Haar Multipliers, and study boundedness properties of these operators and their commutators. We also characterize dyadic BMO functions via the boundedness of certain paraproducts and also via the boundedness of the commutators of multilinear Haar Multipliers and paraproduct operators.

Related

• Multilinear dyadic operators and their commutators in the weighted setting
• On Some properties of dyadic operators
• Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO
• Boundedness of a composition of dyadic paraproducts
• Dyadic product BMO in the Bloom setting