向量值多线性奇异积分算子的加权Sharp不等式

Weighted Sharp Inequality for Vector⁃valued Multilinear Singular Integral Operator

利用不等式、原子分解性质研究了向量值多线性算子,证明了某些向量值多线性奇异积分算子的一个加权Sharp不等式,并利用此不等式得到了该向量值多线性算子的加权L^(p)型不等式和L log L型不等式。

The vecto⁃valued multilinear operators were investigated by using inequalities and atomic decomposition prop⁃erties.A weighted Sharp inequality for some vector⁃valued multilinear singular integral operators was proved.By using this in⁃equality,the weighted L^(p)⁃norm inequality and Llog L⁃type inequality for the vector⁃valued multilinear operators were obtained.