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Título

Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach

AutorBényi, Árpád; Martell, José María CSIC ORCID ; Moen, Kabe; Stachura, Eric; Torres, Rodolfo H.
Palabras claveCommutators
Spaces of bounded mean oscillations
Muckenhoupt weights
Product weights
Linearizable operators
Linear and multilinear Calderón-Zygmund operators
Kato operator
Linear and multilinear fractional integrals
Bilinear Hilbert transform
Fecha de publicación6-jul-2019
EditorSpringer Nature
CitaciónMathematische Annalen
ResumenWe 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.
Versión del editorhttps://doi.org/10.1007/s00208-019-01870-z
URIhttp://hdl.handle.net/10261/192865
DOI10.1007/s00208-019-01870-z
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