Quasi Pieces of the Bilinear Hilbert Transform Incorporated into a Paraproduct

Dong Dong

doi:10.1007/s12220-018-9987-4

Quasi Pieces of the Bilinear Hilbert Transform Incorporated into a Paraproduct

Dong Dong^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	224-246
Number of pages	23
Journal	Journal of Geometric Analysis
Volume	29
Issue number	1
DOIs	https://doi.org/10.1007/s12220-018-9987-4
State	Published - Jan 15 2019
Externally published	Yes

Keywords

Bilinear Hilbert transform
Paraproduct
Tri-linear operators

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-018-9987-4

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keywords = "Bilinear Hilbert transform, Paraproduct, Tri-linear operators",

author = "Dong Dong",

note = "Funding Information: Acknowledgements The author would like to thank Prof. Xiaochun Li for helpful discussions on this topic. He also acknowledges the support from Gene H. Golub Fund of Mathematics Department at University of Illinois. Publisher Copyright: {\textcopyright} 2018, Mathematica Josephina, Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

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Quasi Pieces of the Bilinear Hilbert Transform Incorporated into a Paraproduct

Abstract

Keywords

ASJC Scopus subject areas

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