多线性平方函数的加权Morrey型估计

The Weighted Morrey Type Estimates for Multilinear Square Function

利用2进分解技术研究了一类多线性平方函数的连续性,建立了多线性平方函数在加权Morrey空间上的有界性,即当所有p_i>1时,Lp1,κ(ω1)×…×Lpm,κ(ωm)→Lp,κ(υω→),当某个p_i=1时,Lp1,κ(ω1)×…×Lpm,κ(ωm)→WLp,κ(υω→).

The continuity of a class of multilinear square function is studied and a binary decomposition technique is used to obtain the boundness of multilinear square function T on weighted Morrey spaces.That is,the Lp1,κ（ω1）×…×Lpm,κ（ωm）→Lp,κ（υω→） estimate of T on each pi〉1 and weak type Lp1,κ（ω1）×…×Lpm,κ（ωm）→WLp,κ（υω→） estimate of T when there is some pi=1 are established.