On a hybrid of bilinear Hilbert transform and paraproduct

Dong Dong; Xiao Chun Li

doi:10.1007/s10114-017-6415-9

On a hybrid of bilinear Hilbert transform and paraproduct

Dong Dong, Xiao Chun Li

Mathematics

Research output: Contribution to journal › Article

Abstract

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={(p1,p2,p3)∈ℝ3:1<p1,p2<∞,1p1+1p2<32,1<p3<∞}.

Original language	English (US)
Pages (from-to)	29-41
Number of pages	13
Journal	Acta Mathematica Sinica, English Series
Volume	34
Issue number	1
DOIs	https://doi.org/10.1007/s10114-017-6415-9
State	Published - Jan 1 2018

Keywords

Bilinear Hilbert transform
paraproduct
tri-linear operators

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s10114-017-6415-9

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Dong, D., & Li, X. C. (2018). On a hybrid of bilinear Hilbert transform and paraproduct. Acta Mathematica Sinica, English Series, 34(1), 29-41. https://doi.org/10.1007/s10114-017-6415-9

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