带变量核的分数次积分交换子在加权Morrey-Herz空间的有界性

Weighted Boundedness of Commutators of Fractional Integral Operators with Variable Kernel on Morrey-Herz Spaces

应用核函数Ω(x,z)的性质,证明了由带变量核的分数次积分算子T_(Ω,l)与BMO(R^n)函数b生成的交换子T_Ω.b,l是加权Morrey-Herz空间MK_(pq)^(αλ)(ω_1,ω_2)上的有界算子,推广了以往非变量核的相关结果.

By using the properties of the function Ω, the bonndedness results on the Weighted Morrey-Herz spaces MKp,q^α,λ（ω1,ω2） are established for the commutators TΩ,b,l generated by fractional integral operators TΩ,t with variable kernels and BMO （R^n） functions b.