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

Cite this

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title = "Quasi Pieces of the Bilinear Hilbert Transform Incorporated into a Paraproduct",

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.",

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

author = "Dong Dong",

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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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