Abstract
A sufficient condition for the two-weight boundedness of higher order commutators was recently obtained by Holmes and Wick in terms of an intersection of two BMO spaces. We provide an alternative proof, showing that the higher order case can be deduced by a classical Cauchy integral argument from the corresponding first order result of Holmes, Lacey and Wick.
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References
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The author is supported by the ERC Starting Grant “AnProb”. He is a member of the Finnish Centre of Excellence in Analysis and Dynamics Research. Dedicated to Professor Ernst–Ulrich Gekeler in appreciation of his service as the Chief Editor for Archiv der Mathematik.
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Hytönen, T.P. The Holmes–Wick theorem on two-weight bounds for higher order commutators revisited. Arch. Math. 107, 389–395 (2016). https://doi.org/10.1007/s00013-016-0956-5
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DOI: https://doi.org/10.1007/s00013-016-0956-5