摘要
In this paper,a weak type(1,1)estimate is established for the higher order commutator introduced by Christ and Joume which is defined byT[a1,…,a1]f(x)=p.v∫R^dK(x-y)(lПi=1 mx,yai)·f(y)dy,where K is the standard Calderon-Zygmund convolution kernel on R^d(d≥2)and mx,yai=∫0^1ai(sx+(1-s)y)ds.
In this paper, a weak type （1,1） estimate is established for the higher order commutator introduced by Christ and Journé which is defined by ■where K is the standard Calderón-Zygmund convolution kernel on Rd（d≥2） and mx,yai=10ai（sx+（1-s）y）ds.
基金
supported by NSFC (Nos. 11871096, 11801118 and No. 11571160)
China Postdoctoral Science Foundation (No. 2017M621253 and No. 2018T110279)
the Fundamental Research Funds for the Central Universities
