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arXiv · 1709.07162

Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct

Dong Dong
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Abstract

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 counter part. Such type of operators is motivated by the tri-linear Hilbert transform and its curved versions.

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Dong Dong. 2017-09-21. Quasi pieces of the bilinear Hilbert transform incorporated into a paraproduct. https://arxiv.org/abs/1709.07162

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