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• W3121738817 abstract "Let $B$ be a locally integrable matrix function, $W$ a matrix A${}_p$ weight with $1 < p < infty$, and $T$ be any of the Riesz transforms. We will characterize the boundedness of the commutator $[T, B]$ on $L^p(W)$ in terms of the membership of $B$ in a natural matrix weighted BMO space. To do this, we will characterize the boundedness of dyadic paraproducts on $L^p(W)$ via a new matrix weighted Carleson embedding theorem. Finally, we will use some of the ideas from these proofs to (among other things) obtain quantitative weighted norm inequalities for these operators and also use them to prove sharp $L^2$ bounds for the Christ/Goldberg matrix weighted maximal function associated with matrix A${}_2$ weights." @default.
• W3121738817 created "2021-02-01" @default.
• W3121738817 creator A5014472321 @default.
• W3121738817 creator A5029020487 @default.
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• W3121738817 date "2017-07-04" @default.
• W3121738817 modified "2023-09-23" @default.
• W3121738817 title "Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols" @default.
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• W3121738817 doi "https://doi.org/10.1112/jlms.12053" @default.
• W3121738817 hasPublicationYear "2017" @default.
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