A weighted weak type endpoint estimate is established for the m-linear operator with Calderón-Zygmund kernel, which was introduced by Coifman and Meyer. As applications, the mapping properties on weighted Lp1(Rn)×···×Lpm(Rn) with weight MBw for certain maximal operator MB and general weight w, and a two-weight weighted norm estimate for this operator, are obtained.
Letμ be a nonnegative Radon measure on Rd which only satisfies μ(B(x,r)) ≤ Corn for all x ∈ Rd,r ＞ 0,and some fixed constants Co ＞ 0 and n ∈ (0,d].In this paper,some weighted weak type estimates with Aρp,(log L)σ (μ) weights are established for the commutators generated by Calderón-Zygmund singular integral operators with RBMO(μ) functions.
Guo-en HU~1 Da-chun YANG~(2+) Dong-yong YANG~2 1 Department of Applied Mathematics,University of Information Engineering,Zhengzhou 450002,China
