变指数空间上多线性分数次积分的Lipschitz光滑性（英文）

LIPSCHITZ TYPE SMOOTHNESS OF MULTILINEAR FRACTIONAL INTEGRAL ON VARIABLE EXPONENTS SPACES

本文研究了多线性分数次积分算子在变指数空间的有界性.利用多线性分数次积分转化为相对应的分数次积分的方法,获得了它从变指数强和弱Lebesgue空间到变指数Lipschitz空间的有界性,推广了先前的研究结果.

In this paper, we study the boundedness of multilinear fractional integral operators on variable exponent spaces. It is obtained that these operators are both bounded from strong and weak Lebesgue spaces with variable exponent spaces into Lipschitz type spaces with variable exponent, which gives some new results for previous published papers. A simple way is obtained that is colsely linked with a class of fractional integral operator.