On two weight estimates for iterated commutators

2020/06/21 by Lerner, Andrei K., Ombrosi, Sheldy, Rivera-Ríos, Israel P. · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.11896

Abstract

In this paper we extend the bump conjecture and a particular case of the separated bump conjecture with logarithmic bumps to iterated commutators T_b^m. Our results are new even for the first order commutator T_b¹. A new bump type necessary condition for the two-weighted boundedness of T_b^m is obtained as well. We also provide some results related to a converse to Bloom's theorem.

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