Bilinear Exotic Calderón–Zygmund Operators  

作　　者：Jin Bai Jinsong Li Kangwei Li 

机构地区：[1]Center for Applied Mathematics,Tianjin University,Tianjin 300072,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2025年第1期355-377,共23页数学学报(英文版)

基　　金：Supported by National Key R&D Program of China(Grant No.2021YFA1002500);NNSF of China(Grant Nos.12222114 and 12001400)。

摘　　要：We introduce a bilinear extension of the so-called exotic Calderón–Zygmund operators.These kernels arise naturally from the bilinear singular integrals associated with Zygmund dilations.We show that such a class of operators satisfy a T 1 theorem in the same form as the standard Calderón–Zygmund operators.However,one-parameter weighted estimates may fail in general,and unlike the linear case,we are not able to provide the end-point estimates in full generality.

关 键 词：Bilinear Calderón–Zygmund operators weighted inequalities sparse bounds 

分 类 号：O177[理学—数学]