分数次积分算子的交换子在变指数函数空间上的有界性

Boundedness of Commutators of the Fractional Integral Operators on Variable Exponent Spaces

主要研究分数次积分算子Il与Besov函数生成的交换子在变指数Lebesgue空间Lp(·)(Rn)中的有界性,以及分数次积分算子Il与Lipschitz函数生成的交换子在变指数Herz-Morrey空间MKα,λq,p(·)(Rn)中的有界性.

The boundedness on Lebesgue spaces with vail-able exponent L^p（·） （R^n） of commutators of fractional integral operators with Besov functions, and the boundedness on Herz-Morrey spaces with variable exponent MKq, p（·）^α,λ（R^n） of commutators of the fractional integral operators with Lipschitz functions, were studied respectively.