Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones. In particular, we solve a problem about the boundedness of the commutators of the bilinear Hilbert transform with functions in BMO.
Digital Object Identifier (DOI)
Bényi, Árpád; Martell, José María; Moen, Kabe; Stachura, Eric; and Torres, Rodolfo H., "Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach" (2020). Faculty Publications. 4638.