Iterated commutators under a joint condition on the tuple of multiplying functions

2019/10/01 by Hytönen, Tuomas, Li, Kangwei, Oikari, Tuomas
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.00364

Abstract

We present a pair of joint conditions on the two functions b₁,b₂ strictly weaker than b₁,b₂∈ BMO that almost characterize the L² boundedness of the iterated commutator [b₂,[b₁,T]] of these functions and a Calderón-Zygmund operator T. Namely, we sandwich this boundedness between two bisublinear mean oscillation conditions of which one is a slightly bumped up version of the other.

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