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math.CA2019
Special cases of power decay in multilinear oscillatory integrals
Dong Dong, Dominique Maldague, Dominick Villano
We use tools from the multilinear oscillatory integral program developed by Christ, Li, Thiele, and Tao to treat special cases which are not covered by existing theory. Considerati…
math.CA2017
Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct
Dong Dong
We prove the boundedness of a class of tri-linear operators consisting of a quasi piece of bilinear Hilbert transform whose scale equals to or dominates the scale of its linear cou…