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Showing 1 to 1 of 1 for “"Shift operators (Operator theory)"”.
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Commutators and dyadic paraproducts on weighted Lebesgue spaces
We prove that the operator norm on weighted Lebesgue space L^2(w) of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the A2 characteristic of the weight, as opposed to the linear dependence known to hold for the operators themselves. It …