On a hybrid of bilinear Hilbert transform and paraproduct

Authors
Dong, Dong Li, Xiao Chun
Citation
Dong, Dong et Li, Xiao Chun, On a hybrid of bilinear Hilbert transform and paraproduct, Acta mathematica Sinica. English series (Print) , 34(1), 2018, pp. 29-41
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
1
Year of publication
2018
Pages
29 - 41
Database
ACNP
SICI code
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<.....