多线性分数次积分算子在加权变指数Herz乘积空间上的有界性

Boundedness of the multilinear fractional integral operators on the product weighted Herz spaces with variable exponents

利用加权变指数Lebesgue空间的特征和多线性分数次积分算子的L^p有界性,基于加权变指数Herz空间的定义,运用调和分析实方法进行不等式的估计,证明了多线性分数次积分算子在加权变指数Herz乘积空间的有界性.

The definitions and some basic properties of the variable exponent Lebesgue space are mentioned.Then, by the properties of weighted Lebesgue spaces with variable exponents and the boundedness of the multilinear fractional integral operator on L^p, based on the definition of the weighted Herz spaces with variable exponent, using the real methods in harmonic analysis, the boundedness of the multilinear fractional integral operators on the product weighted Herz spaces with variable exponents is obtained.