Littlewood-Paley算子及其交换子在变指数Herz空间上的有界性

Boundedness of the Littlew ood-Paley operators and cummutators on the Herz spaces with variable exponents

研究了Littlewood-Paley积分算子(包括Lusin面积积分函数,Littlewood-Paley g函数和g*λ函数)及其与BM O函数生成的高阶交换子在具有两个变指数p(·),α(·)的Herz空间上的有界性,这里p(·),α(·)均满足一定的连续性条件。

The main result in the paper is the boundedness of the Littlewood-Paley integral operators( include Lusin area integral function,Littlewood-Paleyg and g*λ) and its higher order commutators generated by BMO fucntions on the Herz spaces with two variable exponents p( ·),α( ·),where p( ·),α( ·) satisfies some continuous condition.