Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
Department
Mathematics
Document Type
Article
Publication Date
2-1-2020
Abstract
© 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.
Journal Title
Mathematische Annalen
Journal ISSN
00255831
Volume
376
Issue
1-2
First Page
61
Last Page
102
Digital Object Identifier (DOI)
10.1007/s00208-019-01870-z
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