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On a Hybrid of Bilinear Hilbert Transform and Paraproduct
DONG, Dong - Personal Name
LI, Xiao Chun - Personal Name
We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we prove boundedness property in a large range D = {(p 1 , p 2 , p 3 ) ∈ R 3 : 1 < p 1 , p 2 < ∞, p 1 1 + p 1 2 < 32 , 1 < p 3 < ∞}.
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Dong DONG , Xiao Chun LI
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